100582020 has 384 divisors, whose sum is σ = 406425600. Its totient is φ = 20044800.

The previous prime is 100582019. The next prime is 100582037. The reversal of 100582020 is 20285001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100581984 and 100582002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1704751 + ... + 1704809.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^100582020 is an apocalyptic number.

100582020 is a gapful number since it is divisible by the number (10) 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 100582020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

100582020 is an abundant number, since it is smaller than the sum of its proper divisors (305843580).

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

100582020 is a wasteful number, since it uses less digits than its factorization.

100582020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100582020 is about 10029.0587793671. The cubic root of 100582020 is about 465.0576411376.

The spelling of 100582020 in words is "one hundred million, five hundred eighty-two thousand, twenty".