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106006601056 = 2531432519901
BaseRepresentation
bin110001010111001111…
…1000101110101100000
3101010121210010021212111
41202232133011311200
53214100142213211
6120410533205104
710441641145636
oct1425637056540
9333553107774
10106006601056
1140a58a65404
1218665490794
139cc5079c55
1451b8aab356
152b56728421
hex18ae7c5d60

106006601056 has 96 divisors (see below), whose sum is σ = 221343446016. Its totient is φ = 49896000000.

The previous prime is 106006601053. The next prime is 106006601161. The reversal of 106006601056 is 650106600601.

It is a super-2 number, since 2×1060066010562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006601053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10701706 + ... + 10711606.

It is an arithmetic number, because the mean of its divisors is an integer number (2305660896).

Almost surely, 2106006601056 is an apocalyptic number.

106006601056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106006601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110671723008).

106006601056 is an abundant number, since it is smaller than the sum of its proper divisors (115336844960).

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

106006601056 is a wasteful number, since it uses less digits than its factorization.

106006601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 106006601056 in words is "one hundred six billion, six million, six hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 251 344 496 502 688 992 1004 1333 1376 2008 2666 4016 5332 7781 8032 9901 10664 10793 15562 19802 21328 21586 31124 39604 42656 43172 62248 79208 86344 124496 158416 172688 248992 306931 316832 334583 345376 425743 613862 669166 851486 1227724 1338332 1702972 2455448 2485151 2676664 3405944 4910896 4970302 5353328 6811888 9821792 9940604 10706656 13198033 13623776 19881208 26396066 39762416 52792132 77039681 79524832 105584264 106861493 154079362 211168528 213722986 308158724 422337056 427445972 616317448 854891944 1232634896 1709783888 2465269792 3312706283 3419567776 6625412566 13250825132 26501650264 53003300528 106006601056