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106044595335 = 345725479769
BaseRepresentation
bin110001011000011000…
…0000001110010000111
3101010201102121121020000
41202300300001302013
53214134404022320
6120414411412343
710442612121300
oct1426060016207
9333642547200
10106044595335
1140a78456038
12186761540b3
139cccbc0883
1451bdb5b7a7
152b59c30c90
hex18b0c01c87

106044595335 has 120 divisors (see below), whose sum is σ = 221557572720. Its totient is φ = 48383951616.

The previous prime is 106044595333. The next prime is 106044595339. The reversal of 106044595335 is 533595440601.

106044595335 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 4 + 59 + 533 + 5 = 666.

It is not a de Polignac number, because 106044595335 - 21 = 106044595333 is a prime.

It is a super-2 number, since 2×1060445953352 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106044595333) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10850331 + ... + 10860099.

It is an arithmetic number, because the mean of its divisors is an integer number (1846313106).

Almost surely, 2106044595335 is an apocalyptic number.

106044595335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106044595335 is an abundant number, since it is smaller than the sum of its proper divisors (115512977385).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106044595335 is an equidigital number, since it uses as much as digits as its factorization.

106044595335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 106044595335 in words is "one hundred six billion, forty-four million, five hundred ninety-five thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 547 567 735 945 1323 1641 2205 2735 2835 3829 3969 4923 6615 8205 9769 11487 14769 19145 19845 24615 26803 29307 34461 44307 48845 57435 68383 73845 80409 87921 103383 134015 146535 172305 205149 221535 241227 263763 310149 341915 402045 439605 478681 516915 615447 723681 791289 1025745 1206135 1318815 1436043 1550745 1846341 2171043 2393405 3077235 3618405 3956445 4308129 5343643 5539023 7180215 9231705 10855215 12924387 16030929 21540645 26718215 27695115 37405501 38773161 48092787 64621935 80154645 112216503 144278361 187027505 193865805 240463935 261838507 336649509 432835083 561082515 721391805 785515521 1009948527 1309192535 1683247545 2164175415 2356546563 3029845581 3927577605 5049742635 7069639689 11782732815 15149227905 21208919067 35348198445 106044595335