100984145892 has 96 divisors (see below), whose sum is σ = 285359800320. Its totient is φ = 27133678080.

The previous prime is 100984145891. The next prime is 100984145921. The reversal of 100984145892 is 298541489001.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (100984145891) 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, 1798767 + ... + 1854057.

It is an arithmetic number, because the mean of its divisors is an integer number (2972497920).

Almost surely, 2^100984145892 is an apocalyptic number.

100984145892 is a gapful number since it is divisible by the number (12) 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 100984145892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142679900160).

100984145892 is an abundant number, since it is smaller than the sum of its proper divisors (184375654428).

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

100984145892 is a wasteful number, since it uses less digits than its factorization.

100984145892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56601 (or 56599 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 100984145892 in words is "one hundred billion, nine hundred eighty-four million, one hundred forty-five thousand, eight hundred ninety-two".