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100081696 = 25111321871
BaseRepresentation
bin1011111011100…
…10000000100000
320222022200021111
411331302000200
5201110103241
613533033104
72323452241
oct575620040
9228280244
10100081696
1151547950
1229625794
1317971a50
14d412cc8
158bbdc81
hex5f72020

100081696 has 48 divisors (see below), whose sum is σ = 231493248. Its totient is φ = 41990400.

The previous prime is 100081673. The next prime is 100081699. The reversal of 100081696 is 696180001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100081699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6360 + ... + 15511.

It is an arithmetic number, because the mean of its divisors is an integer number (4822776).

Almost surely, 2100081696 is an apocalyptic number.

100081696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100081696 is an abundant number, since it is smaller than the sum of its proper divisors (131411552).

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

100081696 is a wasteful number, since it uses less digits than its factorization.

100081696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21905 (or 21897 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 100081696 is about 10004.0839660611. The cubic root of 100081696 is about 464.2852487028.

The spelling of 100081696 in words is "one hundred million, eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 21871 43742 87484 174968 240581 284323 349936 481162 568646 699872 962324 1137292 1924648 2274584 3127553 3849296 4549168 6255106 7698592 9098336 12510212 25020424 50040848 100081696