82100424 has 64 divisors (see below), whose sum is σ = 237911040. Its totient is φ = 23123520.

The previous prime is 82100413. The next prime is 82100471. The reversal of 82100424 is 42400128.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 82100424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8487 + ... + 15369.

It is an arithmetic number, because the mean of its divisors is an integer number (3717360).

Almost surely, 2^82100424 is an apocalyptic number.

82100424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118955520).

82100424 is an abundant number, since it is smaller than the sum of its proper divisors (155810616).

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

82100424 is a wasteful number, since it uses less digits than its factorization.

82100424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 82100424 is about 9060.9284292505. The cubic root of 82100424 is about 434.6254299688.

The spelling of 82100424 in words is "eighty-two million, one hundred thousand, four hundred twenty-four".