100961874 has 48 divisors (see below), whose sum is σ = 237112512. Its totient is φ = 30862944.

The previous prime is 100961857. The next prime is 100961879. The reversal of 100961874 is 478169001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100961879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36819 + ... + 39465.

It is an arithmetic number, because the mean of its divisors is an integer number (4939844).

Almost surely, 2^100961874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100961874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118556256).

100961874 is an abundant number, since it is smaller than the sum of its proper divisors (136150638).

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

100961874 is a wasteful number, since it uses less digits than its factorization.

100961874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 100961874 is about 10047.9786026842. The cubic root of 100961874 is about 465.6423450080.

The spelling of 100961874 in words is "one hundred million, nine hundred sixty-one thousand, eight hundred seventy-four".