100468125 has 60 divisors (see below), whose sum is σ = 185312556. Its totient is φ = 52416000.

The previous prime is 100468103. The next prime is 100468127. The reversal of 100468125 is 521864001.

It can be written as a sum of positive squares in 10 ways, for example, as 77686596 + 22781529 = 8814^2 + 4773^2 .

It is not a de Polignac number, because 100468125 - 2¹² = 100464029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100468127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 297957 + ... + 298293.

Almost surely, 2^100468125 is an apocalyptic number.

100468125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100468125 is a deficient number, since it is larger than the sum of its proper divisors (84844431).

100468125 is an equidigital number, since it uses as much as digits as its factorization.

100468125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100468125 is about 10023.3789213019. The cubic root of 100468125 is about 464.8820373684.

The spelling of 100468125 in words is "one hundred million, four hundred sixty-eight thousand, one hundred twenty-five".