101380720 has 80 divisors (see below), whose sum is σ = 270786240. Its totient is φ = 34578432.

The previous prime is 101380691. The next prime is 101380729. The reversal of 101380720 is 27083101.

101380720 = 1² + 2² + ... + 672².

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101380691 and 101380700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101380729) 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, 150304 + ... + 150976.

It is an arithmetic number, because the mean of its divisors is an integer number (3384828).

Almost surely, 2^101380720 is an apocalyptic number.

101380720 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 101380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135393120).

101380720 is an abundant number, since it is smaller than the sum of its proper divisors (169405520).

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

101380720 is a wasteful number, since it uses less digits than its factorization.

101380720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 101380720 is about 10068.7993325917. The cubic root of 101380720 is about 466.2853710824.

The spelling of 101380720 in words is "one hundred one million, three hundred eighty thousand, seven hundred twenty".