103792289328 has 400 divisors, whose sum is σ = 391485568320. Its totient is φ = 25763069952.

The previous prime is 103792289327. The next prime is 103792289351. The reversal of 103792289328 is 823982297301.

103792289328 is a `hidden beast` number, since 1 + 0 + 37 + 9 + 2 + 289 + 328 = 666.

It is a super-4 number, since 4×103792289328⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (103792289327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1979028 + ... + 2030796.

Almost surely, 2^103792289328 is an apocalyptic number.

103792289328 is a gapful number since it is divisible by the number (18) 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 103792289328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195742784160).

103792289328 is an abundant number, since it is smaller than the sum of its proper divisors (287693278992).

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

103792289328 is a wasteful number, since it uses less digits than its factorization.

103792289328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51826 (or 51811 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 103792289328 in words is "one hundred three billion, seven hundred ninety-two million, two hundred eighty-nine thousand, three hundred twenty-eight".