101253776 has 20 divisors (see below), whose sum is σ = 211270332. Its totient is φ = 46732416.

The previous prime is 101253769. The next prime is 101253791. The reversal of 101253776 is 677352101.

It can be written as a sum of positive squares in 2 ways, for example, as 16613776 + 84640000 = 4076^2 + 9200^2 .

It is an unprimeable number.

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, 243191 + ... + 243606.

Almost surely, 2^101253776 is an apocalyptic number.

101253776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101253776 is an abundant number, since it is smaller than the sum of its proper divisors (110016556).

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

101253776 is a wasteful number, since it uses less digits than its factorization.

101253776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486818 (or 486812 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 101253776 is about 10062.4935279482. The cubic root of 101253776 is about 466.0906698507.

The spelling of 101253776 in words is "one hundred one million, two hundred fifty-three thousand, seven hundred seventy-six".