101487456 has 72 divisors (see below), whose sum is σ = 329840784. Its totient is φ = 28995840.

The previous prime is 101487401. The next prime is 101487457. The reversal of 101487456 is 654784101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101487456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101487457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23155 + ... + 27186.

It is an arithmetic number, because the mean of its divisors is an integer number (4581122).

Almost surely, 2^101487456 is an apocalyptic number.

101487456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101487456 is an abundant number, since it is smaller than the sum of its proper divisors (228353328).

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

101487456 is a wasteful number, since it uses less digits than its factorization.

101487456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50364 (or 50353 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 101487456 is about 10074.0982723021. The cubic root of 101487456 is about 466.4489524137.

The spelling of 101487456 in words is "one hundred one million, four hundred eighty-seven thousand, four hundred fifty-six".