101252400 has 60 divisors (see below), whose sum is σ = 324349032. Its totient is φ = 27000320.

The previous prime is 101252381. The next prime is 101252413. The reversal of 101252400 is 4252101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101252400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40989 + ... + 43388.

Almost surely, 2^101252400 is an apocalyptic number.

101252400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101252400 is an abundant number, since it is smaller than the sum of its proper divisors (223096632).

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

101252400 is a wasteful number, since it uses less digits than its factorization.

101252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84398 (or 84387 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 101252400 is about 10062.4251550012. The cubic root of 101252400 is about 466.0885585099.

It can be divided in two parts, 10125 and 2400, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 101252400 in words is "one hundred one million, two hundred fifty-two thousand, four hundred".