100556016 has 120 divisors (see below), whose sum is σ = 292945536. Its totient is φ = 29473920.

The previous prime is 100556011. The next prime is 100556039. The reversal of 100556016 is 610655001.

It is a super-2 number, since 2×100556016² = 20223024707584512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100556011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976221 + ... + 976323.

Almost surely, 2^100556016 is an apocalyptic number.

100556016 is a gapful number since it is divisible by the number (16) 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 100556016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146472768).

100556016 is an abundant number, since it is smaller than the sum of its proper divisors (192389520).

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

100556016 is a wasteful number, since it uses less digits than its factorization.

100556016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 100556016 is about 10027.7622628381. The cubic root of 100556016 is about 465.0175597485.

The spelling of 100556016 in words is "one hundred million, five hundred fifty-six thousand, sixteen".