103410416832 has 112 divisors (see below), whose sum is σ = 289817690112. Its totient is φ = 32429445120.

The previous prime is 103410416831. The next prime is 103410416843. The reversal of 103410416832 is 238614014301.

It is a junction number, because it is equal to n+sod(n) for n = 103410416793 and 103410416802.

It is not an unprimeable number, because it can be changed into a prime (103410416831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11063553 + ... + 11072895.

Almost surely, 2^103410416832 is an apocalyptic number.

103410416832 is a gapful number since it is divisible by the number (12) 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 103410416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144908845056).

103410416832 is an abundant number, since it is smaller than the sum of its proper divisors (186407273280).

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

103410416832 is a wasteful number, since it uses less digits than its factorization.

103410416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12766 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 103410416832 in words is "one hundred three billion, four hundred ten million, four hundred sixteen thousand, eight hundred thirty-two".