100797640320 has 512 divisors, whose sum is σ = 369212256000. Its totient is φ = 23170646016.

The previous prime is 100797640291. The next prime is 100797640343. The reversal of 100797640320 is 23046797001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58979626 + ... + 58981334.

Almost surely, 2^100797640320 is an apocalyptic number.

100797640320 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 100797640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184606128000).

100797640320 is an abundant number, since it is smaller than the sum of its proper divisors (268414615680).

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

100797640320 is a wasteful number, since it uses less digits than its factorization.

100797640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 100797640320 in words is "one hundred billion, seven hundred ninety-seven million, six hundred forty thousand, three hundred twenty".