100175968 has 48 divisors (see below), whose sum is σ = 210896784. Its totient is φ = 46673920.

The previous prime is 100175927. The next prime is 100175981. The reversal of 100175968 is 869571001.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57348 + ... + 59068.

It is an arithmetic number, because the mean of its divisors is an integer number (4393683).

Almost surely, 2^100175968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100175968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105448392).

100175968 is an abundant number, since it is smaller than the sum of its proper divisors (110720816).

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

100175968 is a wasteful number, since it uses less digits than its factorization.

100175968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 100175968 is about 10008.7945328096. The cubic root of 100175968 is about 464.4309808568.

The spelling of 100175968 in words is "one hundred million, one hundred seventy-five thousand, nine hundred sixty-eight".