103625734336 has 56 divisors (see below), whose sum is σ = 212857049520. Its totient is φ = 49994714112.

The previous prime is 103625734319. The next prime is 103625734363. The reversal of 103625734336 is 633437526301.

It is a happy number.

103625734336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103625734336³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103625734292 and 103625734301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3077206 + ... + 3110698.

Almost surely, 2^103625734336 is an apocalyptic number.

103625734336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103625734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106428524760).

103625734336 is an abundant number, since it is smaller than the sum of its proper divisors (109231315184).

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

103625734336 is a wasteful number, since it uses less digits than its factorization.

103625734336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35201 (or 35191 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 43.

The spelling of 103625734336 in words is "one hundred three billion, six hundred twenty-five million, seven hundred thirty-four thousand, three hundred thirty-six".