100123198164 has 288 divisors, whose sum is σ = 303078537216. Its totient is φ = 27525104640.

The previous prime is 100123198157. The next prime is 100123198169. The reversal of 100123198164 is 461891321001.

It is a super-2 number, since 2×100123198164² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123198169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21196707 + ... + 21201429.

It is an arithmetic number, because the mean of its divisors is an integer number (1052356032).

Almost surely, 2^100123198164 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 100123198164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151539268608).

100123198164 is an abundant number, since it is smaller than the sum of its proper divisors (202955339052).

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

100123198164 is a wasteful number, since it uses less digits than its factorization.

100123198164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 100123198164 in words is "one hundred billion, one hundred twenty-three million, one hundred ninety-eight thousand, one hundred sixty-four".