100797994080 has 864 divisors, whose sum is σ = 418833900576. Its totient is φ = 22824861696.

The previous prime is 100797994079. The next prime is 100797994081. The reversal of 100797994080 is 80499797001.

It is an interprime number because it is at equal distance from previous prime (100797994079) and next prime (100797994081).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×100797994080² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100797994081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 299103672 + ... + 299104008.

It is an arithmetic number, because the mean of its divisors is an integer number (484761459).

Almost surely, 2^100797994080 is an apocalyptic number.

100797994080 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 100797994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209416950288).

100797994080 is an abundant number, since it is smaller than the sum of its proper divisors (318035906496).

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

100797994080 is a wasteful number, since it uses less digits than its factorization.

100797994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 100797994080 in words is "one hundred billion, seven hundred ninety-seven million, nine hundred ninety-four thousand, eighty".