103336568832 has 576 divisors, whose sum is σ = 345932233920. Its totient is φ = 27249868800.

The previous prime is 103336568767. The next prime is 103336568947. The reversal of 103336568832 is 238865633301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312194907 + ... + 312195237.

It is an arithmetic number, because the mean of its divisors is an integer number (600576795).

Almost surely, 2^103336568832 is an apocalyptic number.

103336568832 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 103336568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172966116960).

103336568832 is an abundant number, since it is smaller than the sum of its proper divisors (242595665088).

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

103336568832 is a wasteful number, since it uses less digits than its factorization.

103336568832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 103336568832 in words is "one hundred three billion, three hundred thirty-six million, five hundred sixty-eight thousand, eight hundred thirty-two".