100320167052 has 108 divisors (see below), whose sum is σ = 295184078280. Its totient is φ = 28643956992.

The previous prime is 100320167047. The next prime is 100320167069. The reversal of 100320167052 is 250761023001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2767348 + ... + 2803364.

It is an arithmetic number, because the mean of its divisors is an integer number (2733185910).

Almost surely, 2^100320167052 is an apocalyptic number.

100320167052 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 100320167052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147592039140).

100320167052 is an abundant number, since it is smaller than the sum of its proper divisors (194863911228).

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

100320167052 is a wasteful number, since it uses less digits than its factorization.

100320167052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37620 (or 37608 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 100320167052 in words is "one hundred billion, three hundred twenty million, one hundred sixty-seven thousand, fifty-two".