100684031103029 has 32 divisors (see below), whose sum is σ = 110793619722240. Its totient is φ = 90737729308800.

The previous prime is 100684031102999. The next prime is 100684031103043. The reversal of 100684031103029 is 920301130486001.

It is a cyclic number.

It is not a de Polignac number, because 100684031103029 - 2²⁰ = 100684030054453 is a prime.

It is a super-2 number, since 2×100684031103029² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100684031102983 and 100684031103001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100684031103049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088347394 + ... + 1088439900.

It is an arithmetic number, because the mean of its divisors is an integer number (3462300616320).

Almost surely, 2^{100684031103029} is an apocalyptic number.

It is an amenable number.

100684031103029 is a deficient number, since it is larger than the sum of its proper divisors (10109588619211).

100684031103029 is a wasteful number, since it uses less digits than its factorization.

100684031103029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94601.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 100684031103029 in words is "one hundred trillion, six hundred eighty-four billion, thirty-one million, one hundred three thousand, twenty-nine".