100056066 has 32 divisors (see below), whose sum is σ = 224209728. Its totient is φ = 29499840.

The previous prime is 100056013. The next prime is 100056079. The reversal of 100056066 is 660650001.

It is a super-3 number, since 3×100056066³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 18045 + ... + 22928.

It is an arithmetic number, because the mean of its divisors is an integer number (7006554).

Almost surely, 2^100056066 is an apocalyptic number.

100056066 is an abundant number, since it is smaller than the sum of its proper divisors (124153662).

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

100056066 is a wasteful number, since it uses less digits than its factorization.

100056066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41026.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 100056066 is about 10002.8029071856. The cubic root of 100056066 is about 464.2456122613.

The spelling of 100056066 in words is "one hundred million, fifty-six thousand, sixty-six".