100566150 has 48 divisors (see below), whose sum is σ = 250015248. Its totient is φ = 26752000.

The previous prime is 100566133. The next prime is 100566157. The reversal of 100566150 is 51665001.

It is a super-3 number, since 3×100566150³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100566150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100566157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113710 + ... + 114590.

It is an arithmetic number, because the mean of its divisors is an integer number (5208651).

Almost surely, 2^100566150 is an apocalyptic number.

100566150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100566150 is an abundant number, since it is smaller than the sum of its proper divisors (149449098).

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

100566150 is a wasteful number, since it uses less digits than its factorization.

100566150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1652 counting only the distinct ones).

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

The square root of 100566150 is about 10028.2675472885. The cubic root of 100566150 is about 465.0331806592.

The spelling of 100566150 in words is "one hundred million, five hundred sixty-six thousand, one hundred fifty".