100845180 has 72 divisors (see below), whose sum is σ = 316461600. Its totient is φ = 25963392.

The previous prime is 100845149. The next prime is 100845187. The reversal of 100845180 is 81548001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100845187) 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, 4440 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (4395300).

Almost surely, 2^100845180 is an apocalyptic number.

100845180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100845180 is an abundant number, since it is smaller than the sum of its proper divisors (215616420).

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

100845180 is a wasteful number, since it uses less digits than its factorization.

100845180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19363 (or 19358 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 100845180 is about 10042.1700841999. The cubic root of 100845180 is about 465.4628758876.

It can be divided in two parts, 100845 and 180, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100845180 in words is "one hundred million, eight hundred forty-five thousand, one hundred eighty".