100825053 has 16 divisors (see below), whose sum is σ = 154089600. Its totient is φ = 57445056.

The previous prime is 100825019. The next prime is 100825061. The reversal of 100825053 is 350528001.

It is not a de Polignac number, because 100825053 - 2²⁴ = 84047837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100825003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451 + ... + 14207.

It is an arithmetic number, because the mean of its divisors is an integer number (9630600).

Almost surely, 2^100825053 is an apocalyptic number.

It is an amenable number.

100825053 is a deficient number, since it is larger than the sum of its proper divisors (53264547).

100825053 is a wasteful number, since it uses less digits than its factorization.

100825053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 100825053 is about 10041.1679101587. The cubic root of 100825053 is about 465.4319076429.

The spelling of 100825053 in words is "one hundred million, eight hundred twenty-five thousand, fifty-three".