101457920 has 56 divisors (see below), whose sum is σ = 243582444. Its totient is φ = 40566784.

The previous prime is 101457919. The next prime is 101457931. The reversal of 101457920 is 29754101.

It can be written as a sum of positive squares in 2 ways, for example, as 100962304 + 495616 = 10048^2 + 704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39722 + ... + 42198.

Almost surely, 2^101457920 is an apocalyptic number.

101457920 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 101457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121791222).

101457920 is an abundant number, since it is smaller than the sum of its proper divisors (142124524).

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

101457920 is an frugal number, since it uses more digits than its factorization.

101457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 101457920 is about 10072.6322279730. The cubic root of 101457920 is about 466.4036976485.

The spelling of 101457920 in words is "one hundred one million, four hundred fifty-seven thousand, nine hundred twenty".