100412444034 has 48 divisors (see below), whose sum is σ = 248808460992. Its totient is φ = 28669870944.

The previous prime is 100412444021. The next prime is 100412444053. The reversal of 100412444034 is 430444214001.

100412444034 is a `hidden beast` number, since 10 + 0 + 4 + 1 + 244 + 403 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100412443989 and 100412444007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81829 + ... + 455544.

It is an arithmetic number, because the mean of its divisors is an integer number (5183509604).

Almost surely, 2^100412444034 is an apocalyptic number.

100412444034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100412444034 is an abundant number, since it is smaller than the sum of its proper divisors (148396016958).

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

100412444034 is a wasteful number, since it uses less digits than its factorization.

100412444034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538871 (or 538868 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100412444034 its reverse (430444214001), we get a palindrome (530856658035).

It can be divided in two parts, 100412 and 444034, that added together give a triangular number (544446 = T₁₀₄₃).

The spelling of 100412444034 in words is "one hundred billion, four hundred twelve million, four hundred forty-four thousand, thirty-four".