100127160 has 96 divisors (see below), whose sum is σ = 371910240. Its totient is φ = 22885632.

The previous prime is 100127149. The next prime is 100127191. The reversal of 100127160 is 61721001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17347 + ... + 22386.

It is an arithmetic number, because the mean of its divisors is an integer number (3874065).

Almost surely, 2^100127160 is an apocalyptic number.

100127160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100127160 is an abundant number, since it is smaller than the sum of its proper divisors (271783080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100127160 is a wasteful number, since it uses less digits than its factorization.

100127160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39757 (or 39750 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100127160 is about 10006.3559800759. The cubic root of 100127160 is about 464.3555415067.

Adding to 100127160 its reverse (61721001), we get a palindrome (161848161).

It can be divided in two parts, 100 and 127160, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 100127160 in words is "one hundred million, one hundred twenty-seven thousand, one hundred sixty".