101358180 has 288 divisors, whose sum is σ = 392491008. Its totient is φ = 20563200.

The previous prime is 101358163. The next prime is 101358223. The reversal of 101358180 is 81853101.

101358180 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 581 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 984009 + ... + 984111.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816).

Almost surely, 2^101358180 is an apocalyptic number.

101358180 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 101358180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196245504).

101358180 is an abundant number, since it is smaller than the sum of its proper divisors (291132828).

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

101358180 is a wasteful number, since it uses less digits than its factorization.

101358180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 101358180 is about 10067.6799710758. The cubic root of 101358180 is about 466.2508120747.

It can be divided in two parts, 101 and 358180, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 101358180 in words is "one hundred one million, three hundred fifty-eight thousand, one hundred eighty".