100165557 has 16 divisors (see below), whose sum is σ = 138608640. Its totient is φ = 64273200.

The previous prime is 100165523. The next prime is 100165567. The reversal of 100165557 is 755561001.

It is not a de Polignac number, because 100165557 - 2⁸ = 100165301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100165567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14944 + ... + 20582.

It is an arithmetic number, because the mean of its divisors is an integer number (8663040).

Almost surely, 2^100165557 is an apocalyptic number.

It is an amenable number.

100165557 is a deficient number, since it is larger than the sum of its proper divisors (38443083).

100165557 is a wasteful number, since it uses less digits than its factorization.

100165557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864.

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 100165557 is about 10008.2744266931. The cubic root of 100165557 is about 464.4148913077.

The spelling of 100165557 in words is "one hundred million, one hundred sixty-five thousand, five hundred fifty-seven".