103856852736 has 1296 divisors, whose sum is σ = 414744279040. Its totient is φ = 24246190080.

The previous prime is 103856852713. The next prime is 103856852747. The reversal of 103856852736 is 637258658301.

103856852736 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 568 + 5 + 2 + 73 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3350221041 + ... + 3350221071.

Almost surely, 2^103856852736 is an apocalyptic number.

103856852736 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 103856852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207372139520).

103856852736 is an abundant number, since it is smaller than the sum of its proper divisors (310887426304).

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

103856852736 is a wasteful number, since it uses less digits than its factorization.

103856852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 103856852736 in words is "one hundred three billion, eight hundred fifty-six million, eight hundred fifty-two thousand, seven hundred thirty-six".