100153125 has 48 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 53370000.

The previous prime is 100153051. The next prime is 100153127. The reversal of 100153125 is 521351001.

It is not a de Polignac number, because 100153125 - 2⁸ = 100152869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100153098 and 100153107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100153127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83782 + ... + 84968.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^100153125 is an apocalyptic number.

100153125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100153125 is a deficient number, since it is larger than the sum of its proper divisors (85459995).

100153125 is an frugal number, since it uses more digits than its factorization.

100153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100153125 is about 10007.6533213336. The cubic root of 100153125 is about 464.3956769690.

The spelling of 100153125 in words is "one hundred million, one hundred fifty-three thousand, one hundred twenty-five".