101982720 has 240 divisors, whose sum is σ = 380654208. Its totient is φ = 23224320.

The previous prime is 101982719. The next prime is 101982737. The reversal of 101982720 is 27289101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376185 + ... + 376455.

Almost surely, 2^101982720 is an apocalyptic number.

101982720 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 101982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190327104).

101982720 is an abundant number, since it is smaller than the sum of its proper divisors (278671488).

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

101982720 is an equidigital number, since it uses as much as digits as its factorization.

101982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 101982720 is about 10098.6494146495. The cubic root of 101982720 is about 467.2064864302.

The spelling of 101982720 in words is "one hundred one million, nine hundred eighty-two thousand, seven hundred twenty".