100935153 has 56 divisors (see below), whose sum is σ = 169668576. Its totient is φ = 59486400.

The previous prime is 100935127. The next prime is 100935157. The reversal of 100935153 is 351539001.

It is not a de Polignac number, because 100935153 - 2⁹ = 100934641 is a prime.

It is a super-2 number, since 2×100935153² = 20375810222266818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100935157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 328626 + ... + 328932.

It is an arithmetic number, because the mean of its divisors is an integer number (3029796).

Almost surely, 2^100935153 is an apocalyptic number.

It is an amenable number.

100935153 is a deficient number, since it is larger than the sum of its proper divisors (68733423).

100935153 is an equidigital number, since it uses as much as digits as its factorization.

100935153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 100935153 is about 10046.6488442664. The cubic root of 100935153 is about 465.6012617539.

The spelling of 100935153 in words is "one hundred million, nine hundred thirty-five thousand, one hundred fifty-three".