100405256653 has 8 divisors (see below), whose sum is σ = 108139228568. Its totient is φ = 92672783424.

The previous prime is 100405256647. The next prime is 100405256663. The reversal of 100405256653 is 356652504001.

It can be written as a sum of positive squares in 4 ways, for example, as 9540991684 + 90864264969 = 97678^2 + 301437^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100405256653 - 2¹⁷ = 100405125581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100405256663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233550 + ... + 505327.

It is an arithmetic number, because the mean of its divisors is an integer number (13517403571).

Almost surely, 2^100405256653 is an apocalyptic number.

100405256653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100405256653 is a deficient number, since it is larger than the sum of its proper divisors (7733971915).

100405256653 is a wasteful number, since it uses less digits than its factorization.

100405256653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749343.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 100405256653 in words is "one hundred billion, four hundred five million, two hundred fifty-six thousand, six hundred fifty-three".