100998517600 has 144 divisors (see below), whose sum is σ = 248831730000. Its totient is φ = 40029050880.

The previous prime is 100998517597. The next prime is 100998517663. The reversal of 100998517600 is 6715899001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65201626 + ... + 65203174.

It is an arithmetic number, because the mean of its divisors is an integer number (1727998125).

Almost surely, 2^100998517600 is an apocalyptic number.

100998517600 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 100998517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124415865000).

100998517600 is an abundant number, since it is smaller than the sum of its proper divisors (147833212400).

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

100998517600 is a wasteful number, since it uses less digits than its factorization.

100998517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 100998517600 in words is "one hundred billion, nine hundred ninety-eight million, five hundred seventeen thousand, six hundred".