100937313645 has 16 divisors (see below), whose sum is σ = 184571088000. Its totient is φ = 46142771904.

The previous prime is 100937313637. The next prime is 100937313661. The reversal of 100937313645 is 546313739001.

It is a happy number.

It is not a de Polignac number, because 100937313645 - 2³ = 100937313637 is a prime.

It is a super-3 number, since 3×100937313645³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100937313597 and 100937313606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480653770 + ... + 480653979.

It is an arithmetic number, because the mean of its divisors is an integer number (11535693000).

Almost surely, 2^100937313645 is an apocalyptic number.

100937313645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100937313645 is a deficient number, since it is larger than the sum of its proper divisors (83633774355).

100937313645 is an equidigital number, since it uses as much as digits as its factorization.

100937313645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961307764.

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 100937313645 in words is "one hundred billion, nine hundred thirty-seven million, three hundred thirteen thousand, six hundred forty-five".