100199741904 has 160 divisors (see below), whose sum is σ = 300187036800. Its totient is φ = 31970165760.

The previous prime is 100199741899. The next prime is 100199741947. The reversal of 100199741904 is 409147991001.

It is a self number, because there is not a number n which added to its sum of digits gives 100199741904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885367 + ... + 992105.

It is an arithmetic number, because the mean of its divisors is an integer number (1876168980).

Almost surely, 2^100199741904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100199741904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150093518400).

100199741904 is an abundant number, since it is smaller than the sum of its proper divisors (199987294896).

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

100199741904 is a wasteful number, since it uses less digits than its factorization.

100199741904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106850 (or 106838 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 100199741904 in words is "one hundred billion, one hundred ninety-nine million, seven hundred forty-one thousand, nine hundred four".