100461968 has 30 divisors (see below), whose sum is σ = 205440534. Its totient is φ = 47584512.

The previous prime is 100461941. The next prime is 100461971. The reversal of 100461968 is 869164001.

It can be written as a sum of positive squares in only one way, i.e., 73753744 + 26708224 = 8588^2 + 5168^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2921 + ... + 14472.

Almost surely, 2^100461968 is an apocalyptic number.

It is an amenable number.

100461968 is an abundant number, since it is smaller than the sum of its proper divisors (104978566).

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

100461968 is a wasteful number, since it uses less digits than its factorization.

100461968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17439 (or 17414 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 100461968 is about 10023.0717846377. The cubic root of 100461968 is about 464.8725407008.

The spelling of 100461968 in words is "one hundred million, four hundred sixty-one thousand, nine hundred sixty-eight".