100052025 has 24 divisors (see below), whose sum is σ = 165718560. Its totient is φ = 53264640.

The previous prime is 100052009. The next prime is 100052039. The reversal of 100052025 is 520250001.

It is not a de Polignac number, because 100052025 - 2⁴ = 100052009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100051995 and 100052013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63649 + ... + 65201.

It is an arithmetic number, because the mean of its divisors is an integer number (6904940).

Almost surely, 2^100052025 is an apocalyptic number.

100052025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100052025 is a deficient number, since it is larger than the sum of its proper divisors (65666535).

100052025 is a wasteful number, since it uses less digits than its factorization.

100052025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 100052025 is about 10002.6009117629. The cubic root of 100052025 is about 464.2393622929.

The spelling of 100052025 in words is "one hundred million, fifty-two thousand, twenty-five".