101918720 has 96 divisors (see below), whose sum is σ = 252088200. Its totient is φ = 39518208.

The previous prime is 101918693. The next prime is 101918737. The reversal of 101918720 is 27819101.

It can be written as a sum of positive squares in 4 ways, for example, as 78570496 + 23348224 = 8864^2 + 4832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378746 + ... + 379014.

Almost surely, 2^101918720 is an apocalyptic number.

101918720 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 101918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126044100).

101918720 is an abundant number, since it is smaller than the sum of its proper divisors (150169480).

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

101918720 is an equidigital number, since it uses as much as digits as its factorization.

101918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 101918720 is about 10095.4801767920. The cubic root of 101918720 is about 467.1087330323.

The spelling of 101918720 in words is "one hundred one million, nine hundred eighteen thousand, seven hundred twenty".