10272124600 has 24 divisors (see below), whose sum is σ = 23882690160. Its totient is φ = 4108849760.

The previous prime is 10272124561. The next prime is 10272124627. The reversal of 10272124600 is 642127201.

It is a super-3 number, since 3×10272124600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25680112 + ... + 25680511.

It is an arithmetic number, because the mean of its divisors is an integer number (995112090).

Almost surely, 2^10272124600 is an apocalyptic number.

10272124600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10272124600 is an abundant number, since it is smaller than the sum of its proper divisors (13610565560).

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

10272124600 is a wasteful number, since it uses less digits than its factorization.

10272124600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51360639 (or 51360630 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 10272124600 in words is "ten billion, two hundred seventy-two million, one hundred twenty-four thousand, six hundred".