101459456 has 40 divisors (see below), whose sum is σ = 231689040. Its totient is φ = 43481088.

The previous prime is 101459453. The next prime is 101459459. The reversal of 101459456 is 654954101.

It is an interprime number because it is at equal distance from previous prime (101459453) and next prime (101459459).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101459453) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10571 + ... + 17738.

It is an arithmetic number, because the mean of its divisors is an integer number (5792226).

Almost surely, 2^101459456 is an apocalyptic number.

101459456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101459456 is an abundant number, since it is smaller than the sum of its proper divisors (130229584).

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

101459456 is an frugal number, since it uses more digits than its factorization.

101459456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28334 (or 28318 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 101459456 is about 10072.7084738912. The cubic root of 101459456 is about 466.4060513089.

The spelling of 101459456 in words is "one hundred one million, four hundred fifty-nine thousand, four hundred fifty-six".