101814720 has 224 divisors, whose sum is σ = 375513600. Its totient is φ = 22892544.

The previous prime is 101814719. The next prime is 101814743. The reversal of 101814720 is 27418101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732411 + ... + 732549.

It is an arithmetic number, because the mean of its divisors is an integer number (1676400).

Almost surely, 2^101814720 is an apocalyptic number.

101814720 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 101814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

101814720 is an abundant number, since it is smaller than the sum of its proper divisors (273698880).

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

101814720 is a wasteful number, since it uses less digits than its factorization.

101814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 101814720 is about 10090.3280422393. The cubic root of 101814720 is about 466.9497964425.

The spelling of 101814720 in words is "one hundred one million, eight hundred fourteen thousand, seven hundred twenty".