103192056000 has 1120 divisors, whose sum is σ = 430814951424. Its totient is φ = 24157440000.

The previous prime is 103192055927. The next prime is 103192056049. The reversal of 103192056000 is 650291301.

103192056000 is a `hidden beast` number, since 1 + 0 + 31 + 9 + 20 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 220967767 + ... + 220968233.

Almost surely, 2^103192056000 is an apocalyptic number.

103192056000 is a gapful number since it is divisible by the number (10) 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 103192056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215407475712).

103192056000 is an abundant number, since it is smaller than the sum of its proper divisors (327622895424).

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

103192056000 is a wasteful number, since it uses less digits than its factorization.

103192056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 103192056000 in words is "one hundred three billion, one hundred ninety-two million, fifty-six thousand".