101392753 has 32 divisors (see below), whose sum is σ = 130977792. Its totient is φ = 76204800.

The previous prime is 101392751. The next prime is 101392769. The reversal of 101392753 is 357293101.

It is not a de Polignac number, because 101392753 - 2¹ = 101392751 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (101392751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374008 + ... + 374278.

It is an arithmetic number, because the mean of its divisors is an integer number (4093056).

Almost surely, 2^101392753 is an apocalyptic number.

It is an amenable number.

101392753 is a deficient number, since it is larger than the sum of its proper divisors (29585039).

101392753 is a wasteful number, since it uses less digits than its factorization.

101392753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 101392753 is about 10069.3968538339. The cubic root of 101392753 is about 466.3038183437.

The spelling of 101392753 in words is "one hundred one million, three hundred ninety-two thousand, seven hundred fifty-three".