100105099186000 has 160 divisors (see below), whose sum is σ = 246325625365248. Its totient is φ = 39338628595200.

The previous prime is 100105099185947. The next prime is 100105099186019. The reversal of 100105099186000 is 681990501001.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 48980589 + ... + 50983411.

Almost surely, 2^{100105099186000} is an apocalyptic number.

100105099186000 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 100105099186000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123162812682624).

100105099186000 is an abundant number, since it is smaller than the sum of its proper divisors (146220526179248).

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

100105099186000 is a wasteful number, since it uses less digits than its factorization.

100105099186000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003286 (or 2003270 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 40.

The spelling of 100105099186000 in words is "one hundred trillion, one hundred five billion, ninety-nine million, one hundred eighty-six thousand".