100185156 has 18 divisors (see below), whose sum is σ = 253245902. Its totient is φ = 33395040.

The previous prime is 100185139. The next prime is 100185161. The reversal of 100185156 is 651581001.

It can be written as a sum of positive squares in only one way, i.e., 51408900 + 48776256 = 7170^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1391425 + ... + 1391496.

Almost surely, 2^100185156 is an apocalyptic number.

It is an amenable number.

100185156 is an abundant number, since it is smaller than the sum of its proper divisors (153060746).

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

100185156 is a wasteful number, since it uses less digits than its factorization.

100185156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782931 (or 2782926 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 100185156 is about 10009.2535186197. The cubic root of 100185156 is about 464.4451794098.

The spelling of 100185156 in words is "one hundred million, one hundred eighty-five thousand, one hundred fifty-six".