100416614004 has 120 divisors (see below), whose sum is σ = 301095083520. Its totient is φ = 28586706624.

The previous prime is 100416613963. The next prime is 100416614021. The reversal of 100416614004 is 400416614001.

100416614004 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 6 + 614 + 0 + 0 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 548317 + ... + 708155.

It is an arithmetic number, because the mean of its divisors is an integer number (2509125696).

Almost surely, 2^100416614004 is an apocalyptic number.

100416614004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100416614004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150547541760).

100416614004 is an abundant number, since it is smaller than the sum of its proper divisors (200678469516).

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

100416614004 is a wasteful number, since it uses less digits than its factorization.

100416614004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160139 (or 160128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 100416614004 in words is "one hundred billion, four hundred sixteen million, six hundred fourteen thousand, four".