100419310080 has 960 divisors, whose sum is σ = 392142187008. Its totient is φ = 23616552960.

The previous prime is 100419310037. The next prime is 100419310163. The reversal of 100419310080 is 80013914001.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639613362 + ... + 639613518.

Almost surely, 2^100419310080 is an apocalyptic number.

100419310080 is a gapful number since it is divisible by the number (10) 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 100419310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196071093504).

100419310080 is an abundant number, since it is smaller than the sum of its proper divisors (291722876928).

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

100419310080 is a wasteful number, since it uses less digits than its factorization.

100419310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 100419310080 in words is "one hundred billion, four hundred nineteen million, three hundred ten thousand, eighty".