100412301444 has 48 divisors (see below), whose sum is σ = 288363535488. Its totient is φ = 26482364928.

The previous prime is 100412301433. The next prime is 100412301463. The reversal of 100412301444 is 444103214001.

It is a super-3 number, since 3×100412301444³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45975237 + ... + 45977420.

It is an arithmetic number, because the mean of its divisors is an integer number (6007573656).

Almost surely, 2^100412301444 is an apocalyptic number.

100412301444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100412301444 is an abundant number, since it is smaller than the sum of its proper divisors (187951234044).

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

100412301444 is a wasteful number, since it uses less digits than its factorization.

100412301444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91952684 (or 91952682 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100412301444 its reverse (444103214001), we get a palindrome (544515515445).

It can be divided in two parts, 100412 and 301444, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 100412301444 in words is "one hundred billion, four hundred twelve million, three hundred one thousand, four hundred forty-four".