101372720 has 20 divisors (see below), whose sum is σ = 235691760. Its totient is φ = 40549056.

The previous prime is 101372701. The next prime is 101372723. The reversal of 101372720 is 27273101.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (101372723) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 633500 + ... + 633659.

It is an arithmetic number, because the mean of its divisors is an integer number (11784588).

Almost surely, 2^101372720 is an apocalyptic number.

101372720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101372720 is an abundant number, since it is smaller than the sum of its proper divisors (134319040).

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

101372720 is a wasteful number, since it uses less digits than its factorization.

101372720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267172 (or 1267166 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 101372720 is about 10068.4020579236. The cubic root of 101372720 is about 466.2731058276.

The spelling of 101372720 in words is "one hundred one million, three hundred seventy-two thousand, seven hundred twenty".