100334400074337 has 64 divisors (see below), whose sum is σ = 157693353431040. Its totient is φ = 55943478297600.

The previous prime is 100334400074327. The next prime is 100334400074339. The reversal of 100334400074337 is 733470004433001.

It is not a de Polignac number, because 100334400074337 - 2⁸ = 100334400074081 is a prime.

It is a super-2 number, since 2×100334400074337² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 100334400074295 and 100334400074304.

It is not an unprimeable number, because it can be changed into a prime (100334400074339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180368614 + ... + 180924032.

It is an arithmetic number, because the mean of its divisors is an integer number (2463958647360).

Almost surely, 2^{100334400074337} is an apocalyptic number.

It is an amenable number.

100334400074337 is a deficient number, since it is larger than the sum of its proper divisors (57358953356703).

100334400074337 is a wasteful number, since it uses less digits than its factorization.

100334400074337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556854.

The product of its (nonzero) digits is 254016, while the sum is 39.

The spelling of 100334400074337 in words is "one hundred trillion, three hundred thirty-four billion, four hundred million, seventy-four thousand, three hundred thirty-seven".