100765649225472 has 432 divisors, whose sum is σ = 340510016512512. Its totient is φ = 26159008727040.

The previous prime is 100765649225459. The next prime is 100765649225473. The reversal of 100765649225472 is 274522946567001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100765649225473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791826553 + ... + 791953799.

It is an arithmetic number, because the mean of its divisors is an integer number (788217630816).

Almost surely, 2^{100765649225472} is an apocalyptic number.

100765649225472 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 100765649225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170255008256256).

100765649225472 is an abundant number, since it is smaller than the sum of its proper divisors (239744367287040).

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

100765649225472 is a wasteful number, since it uses less digits than its factorization.

100765649225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129204 (or 129183 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 100765649225472 in words is "one hundred trillion, seven hundred sixty-five billion, six hundred forty-nine million, two hundred twenty-five thousand, four hundred seventy-two".