100556020 has 48 divisors (see below), whose sum is σ = 225968400. Its totient is φ = 37453824.

The previous prime is 100556011. The next prime is 100556039. The reversal of 100556020 is 20655001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3020644 + 97535376 = 1738^2 + 9876^2 .

It is a super-2 number, since 2×100556020² = 20223026316480800, which contains 22 as substring.

It is a congruent number.

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, 31456 + ... + 34504.

It is an arithmetic number, because the mean of its divisors is an integer number (4707675).

Almost surely, 2^100556020 is an apocalyptic number.

100556020 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 100556020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112984200).

100556020 is an abundant number, since it is smaller than the sum of its proper divisors (125412380).

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

100556020 is a wasteful number, since it uses less digits than its factorization.

100556020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 100556020 is about 10027.7624622844. The cubic root of 100556020 is about 465.0175659144.

The spelling of 100556020 in words is "one hundred million, five hundred fifty-six thousand, twenty".