101132360 has 64 divisors (see below), whose sum is σ = 261014400. Its totient is φ = 34546176.

The previous prime is 101132347. The next prime is 101132377. The reversal of 101132360 is 63231101.

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, 105644 + ... + 106596.

It is an arithmetic number, because the mean of its divisors is an integer number (4078350).

Almost surely, 2^101132360 is an apocalyptic number.

101132360 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 101132360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130507200).

101132360 is an abundant number, since it is smaller than the sum of its proper divisors (159882040).

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

101132360 is a wasteful number, since it uses less digits than its factorization.

101132360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 101132360 is about 10056.4586212046. The cubic root of 101132360 is about 465.9042949093.

Adding to 101132360 its reverse (63231101), we get a palindrome (164363461).

The spelling of 101132360 in words is "one hundred one million, one hundred thirty-two thousand, three hundred sixty".