100441017414 has 32 divisors (see below), whose sum is σ = 236331807840. Its totient is φ = 31510907136.

The previous prime is 100441017409. The next prime is 100441017473. The reversal of 100441017414 is 414710144001.

100441017414 is a `hidden beast` number, since 100 + 44 + 101 + 7 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 54705519 + ... + 54707354.

It is an arithmetic number, because the mean of its divisors is an integer number (7385368995).

Almost surely, 2^100441017414 is an apocalyptic number.

100441017414 is an abundant number, since it is smaller than the sum of its proper divisors (135890790426).

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

100441017414 is a wasteful number, since it uses less digits than its factorization.

100441017414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109412901 (or 109412895 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 100441017414 in words is "one hundred billion, four hundred forty-one million, seventeen thousand, four hundred fourteen".