100052175 has 48 divisors (see below), whose sum is σ = 172801440. Its totient is φ = 51018240.

The previous prime is 100052149. The next prime is 100052201. The reversal of 100052175 is 571250001.

It is an interprime number because it is at equal distance from previous prime (100052149) and next prime (100052201).

It is not a de Polignac number, because 100052175 - 2¹⁰ = 100051151 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341329 + ... + 341621.

It is an arithmetic number, because the mean of its divisors is an integer number (3600030).

Almost surely, 2^100052175 is an apocalyptic number.

100052175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100052175 is a deficient number, since it is larger than the sum of its proper divisors (72749265).

100052175 is a wasteful number, since it uses less digits than its factorization.

100052175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 100052175 is about 10002.6084098099. The cubic root of 100052175 is about 464.2395942917.

The spelling of 100052175 in words is "one hundred million, fifty-two thousand, one hundred seventy-five".