100456986 has 64 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 27276480.

The previous prime is 100456981. The next prime is 100457003. The reversal of 100456986 is 689654001.

It is not an unprimeable number, because it can be changed into a prime (100456981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80991 + ... + 82221.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2^100456986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100456986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

100456986 is an abundant number, since it is smaller than the sum of its proper divisors (140817894).

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

100456986 is a wasteful number, since it uses less digits than its factorization.

100456986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 100456986 is about 10022.8232549517. The cubic root of 100456986 is about 464.8648560903.

The spelling of 100456986 in words is "one hundred million, four hundred fifty-six thousand, nine hundred eighty-six".