103625734344 has 128 divisors (see below), whose sum is σ = 308893409280. Its totient is φ = 28601164800.

The previous prime is 103625734319. The next prime is 103625734363. The reversal of 103625734344 is 443437526301.

It is a happy number.

It is a super-3 number, since 3×103625734344³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103625734296 and 103625734305.

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 31 ways as a sum of consecutive naturals, for example, 233284 + ... + 511539.

It is an arithmetic number, because the mean of its divisors is an integer number (2413229760).

Almost surely, 2^103625734344 is an apocalyptic number.

It is an amenable number.

103625734344 is an abundant number, since it is smaller than the sum of its proper divisors (205267674936).

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

103625734344 is a wasteful number, since it uses less digits than its factorization.

103625734344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744891 (or 744887 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 103625734344 in words is "one hundred three billion, six hundred twenty-five million, seven hundred thirty-four thousand, three hundred forty-four".