101686180 has 48 divisors (see below), whose sum is σ = 233921520. Its totient is φ = 36958208.

The previous prime is 101686177. The next prime is 101686181. The reversal of 101686180 is 81686101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 200704 + 101485476 = 448^2 + 10074^2 .

It is not an unprimeable number, because it can be changed into a prime (101686181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4704 + ... + 15016.

It is an arithmetic number, because the mean of its divisors is an integer number (4873365).

Almost surely, 2^101686180 is an apocalyptic number.

101686180 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 101686180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116960760).

101686180 is an abundant number, since it is smaller than the sum of its proper divisors (132235340).

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

101686180 is a wasteful number, since it uses less digits than its factorization.

101686180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 101686180 is about 10083.9565647617. The cubic root of 101686180 is about 466.7532073066.

The spelling of 101686180 in words is "one hundred one million, six hundred eighty-six thousand, one hundred eighty".