100788740640 has 1344 divisors, whose sum is σ = 440256902400. Its totient is φ = 21284093952.

The previous prime is 100788740593. The next prime is 100788740653. The reversal of 100788740640 is 46047887001.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1132457716 + ... + 1132457804.

It is an arithmetic number, because the mean of its divisors is an integer number (327572100).

Almost surely, 2^100788740640 is an apocalyptic number.

100788740640 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 100788740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220128451200).

100788740640 is an abundant number, since it is smaller than the sum of its proper divisors (339468161760).

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

100788740640 is an equidigital number, since it uses as much as digits as its factorization.

100788740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 100788740640 in words is "one hundred billion, seven hundred eighty-eight million, seven hundred forty thousand, six hundred forty".