103735935672 has 64 divisors (see below), whose sum is σ = 275692291200. Its totient is φ = 32434358400.

The previous prime is 103735935659. The next prime is 103735935697. The reversal of 103735935672 is 276539537301.

It is a super-2 number, since 2×103735935672² (a number of 23 digits) contains 22 as substring.

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, 1080138 + ... + 1172249.

It is an arithmetic number, because the mean of its divisors is an integer number (4307692050).

Almost surely, 2^103735935672 is an apocalyptic number.

103735935672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103735935672 is an abundant number, since it is smaller than the sum of its proper divisors (171956355528).

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

103735935672 is a wasteful number, since it uses less digits than its factorization.

103735935672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252516 (or 2252512 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 51.

The spelling of 103735935672 in words is "one hundred three billion, seven hundred thirty-five million, nine hundred thirty-five thousand, six hundred seventy-two".