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106100995 = 571113172943
BaseRepresentation
bin1100101001011…
…11100100000011
321101122111012111
412110233210003
5204130212440
614310040151
72425562230
oct624574403
9241574174
10106100995
1154989280
122b649057
1318c9b770
141013c787
1594ac4ea
hex652f903

106100995 has 128 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 54190080.

The previous prime is 106100987. The next prime is 106101019. The reversal of 106100995 is 599001601.

It is not a de Polignac number, because 106100995 - 23 = 106100987 is a prime.

It is a super-2 number, since 2×1061009952 = 22514842279980050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2467444 + ... + 2467486.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2106100995 is an apocalyptic number.

106100995 is a deficient number, since it is larger than the sum of its proper divisors (85499645).

106100995 is a wasteful number, since it uses less digits than its factorization.

106100995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 106100995 is about 10300.5337240359. The cubic root of 106100995 is about 473.4126068487.

It can be divided in two parts, 106 and 100995, that added together give a palindrome (101101).

The spelling of 106100995 in words is "one hundred six million, one hundred thousand, nine hundred ninety-five".

Divisors: 1 5 7 11 13 17 29 35 43 55 65 77 85 91 119 143 145 187 203 215 221 301 319 377 385 455 473 493 559 595 715 731 935 1001 1015 1105 1247 1309 1505 1547 1595 1885 2233 2365 2431 2465 2639 2795 3311 3451 3655 3913 4147 5005 5117 5423 6149 6235 6409 6545 7735 8041 8729 9503 11165 12155 13195 13717 16211 16555 17017 17255 19565 20735 21199 25585 27115 29029 30745 32045 37961 40205 43043 43645 44863 47515 56287 66521 68585 70499 81055 85085 96019 104533 105995 113477 145145 148393 178321 189805 215215 224315 233189 275587 281435 332605 352495 480095 493493 522665 567385 731731 741965 891605 1165945 1248247 1377935 1632323 1929109 2467465 3031457 3658655 6241235 8161615 9645545 15157285 21220199 106100995