101379072 has 88 divisors (see below), whose sum is σ = 275149552. Its totient is φ = 33177600.

The previous prime is 101379067. The next prime is 101379073. The reversal of 101379072 is 270973101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101379073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187122 + ... + 187662.

Almost surely, 2^101379072 is an apocalyptic number.

101379072 is a gapful number since it is divisible by the number (12) 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 101379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137574776).

101379072 is an abundant number, since it is smaller than the sum of its proper divisors (173770480).

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

101379072 is an equidigital number, since it uses as much as digits as its factorization.

101379072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 101379072 is about 10068.7174952920. The cubic root of 101379072 is about 466.2828444927.

The spelling of 101379072 in words is "one hundred one million, three hundred seventy-nine thousand, seventy-two".