101982456 has 64 divisors (see below), whose sum is σ = 299959200. Its totient is φ = 31993344.

The previous prime is 101982451. The next prime is 101982479. The reversal of 101982456 is 654289101.

101982456 is a `hidden beast` number, since 10 + 198 + 2 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101982456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101982451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10215 + ... + 17558.

Almost surely, 2^101982456 is an apocalyptic number.

It is an amenable number.

101982456 is an abundant number, since it is smaller than the sum of its proper divisors (197976744).

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

101982456 is a wasteful number, since it uses less digits than its factorization.

101982456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27805 (or 27795 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 101982456 is about 10098.6363435862. The cubic root of 101982456 is about 467.2060832815.

The spelling of 101982456 in words is "one hundred one million, nine hundred eighty-two thousand, four hundred fifty-six".