101264576 has 70 divisors (see below), whose sum is σ = 234779820. Its totient is φ = 43333248.

The previous prime is 101264551. The next prime is 101264599. The reversal of 101264576 is 675462101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153335 + ... + 153993.

Almost surely, 2^101264576 is an apocalyptic number.

101264576 is a gapful number since it is divisible by the number (16) 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 101264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117389910).

101264576 is an abundant number, since it is smaller than the sum of its proper divisors (133515244).

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

101264576 is an frugal number, since it uses more digits than its factorization.

101264576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 101264576 is about 10063.0301599469. The cubic root of 101264576 is about 466.1072407562.

The spelling of 101264576 in words is "one hundred one million, two hundred sixty-four thousand, five hundred seventy-six".