103232927364 has 288 divisors, whose sum is σ = 295783488000. Its totient is φ = 27902923776.

The previous prime is 103232927327. The next prime is 103232927407. The reversal of 103232927364 is 463729232301.

103232927364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265380082 + ... + 265380470.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026000).

Almost surely, 2^103232927364 is an apocalyptic number.

103232927364 is a gapful number since it is divisible by the number (14) 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 103232927364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744000).

103232927364 is an abundant number, since it is smaller than the sum of its proper divisors (192550560636).

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

103232927364 is a wasteful number, since it uses less digits than its factorization.

103232927364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 103232927364 in words is "one hundred three billion, two hundred thirty-two million, nine hundred twenty-seven thousand, three hundred sixty-four".