100272999168 has 576 divisors, whose sum is σ = 330244992000. Its totient is φ = 29867802624.

The previous prime is 100272999163. The next prime is 100272999179. The reversal of 100272999168 is 861999272001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (100272999163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268828230 + ... + 268828602.

It is an arithmetic number, because the mean of its divisors is an integer number (573342000).

Almost surely, 2^100272999168 is an apocalyptic number.

100272999168 is a gapful number since it is divisible by the number (18) 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 100272999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165122496000).

100272999168 is an abundant number, since it is smaller than the sum of its proper divisors (229971992832).

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

100272999168 is a wasteful number, since it uses less digits than its factorization.

100272999168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 100272999168 in words is "one hundred billion, two hundred seventy-two million, nine hundred ninety-nine thousand, one hundred sixty-eight".