100185505840 has 240 divisors, whose sum is σ = 288849369600. Its totient is φ = 32127653376.

The previous prime is 100185505807. The next prime is 100185505891. The reversal of 100185505840 is 48505581001.

It is a self number, because there is not a number n which added to its sum of digits gives 100185505840.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875407 + ... + 5892433.

It is an arithmetic number, because the mean of its divisors is an integer number (1203539040).

Almost surely, 2^100185505840 is an apocalyptic number.

100185505840 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 100185505840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144424684800).

100185505840 is an abundant number, since it is smaller than the sum of its proper divisors (188663863760).

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

100185505840 is a wasteful number, since it uses less digits than its factorization.

100185505840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17152 (or 17139 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 37.

The spelling of 100185505840 in words is "one hundred billion, one hundred eighty-five million, five hundred five thousand, eight hundred forty".