100168072 has 8 divisors (see below), whose sum is σ = 187815150. Its totient is φ = 50084032.

The previous prime is 100168067. The next prime is 100168087. The reversal of 100168072 is 270861001.

It can be written as a sum of positive squares in only one way, i.e., 64096036 + 36072036 = 8006^2 + 6006^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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 as a sum of consecutive naturals, namely, 6260497 + ... + 6260512.

Almost surely, 2^100168072 is an apocalyptic number.

It is an amenable number.

100168072 is a deficient number, since it is larger than the sum of its proper divisors (87647078).

100168072 is a wasteful number, since it uses less digits than its factorization.

100168072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12521015 (or 12521011 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 100168072 is about 10008.4000719396. The cubic root of 100168072 is about 464.4187781850.

The spelling of 100168072 in words is "one hundred million, one hundred sixty-eight thousand, seventy-two".