100899014206840 has 128 divisors (see below), whose sum is σ = 236751602976000. Its totient is φ = 38653830627328.

The previous prime is 100899014206831. The next prime is 100899014206843. The reversal of 100899014206840 is 48602410998001.

It is a super-2 number, since 2×100899014206840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100899014206843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70542624 + ... + 71958736.

It is an arithmetic number, because the mean of its divisors is an integer number (1849621898250).

Almost surely, 2^{100899014206840} is an apocalyptic number.

100899014206840 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 100899014206840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118375801488000).

100899014206840 is an abundant number, since it is smaller than the sum of its proper divisors (135852588769160).

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

100899014206840 is a wasteful number, since it uses less digits than its factorization.

100899014206840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416649 (or 1416645 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 100899014206840 in words is "one hundred trillion, eight hundred ninety-nine billion, fourteen million, two hundred six thousand, eight hundred forty".