100778640528 has 160 divisors (see below), whose sum is σ = 271182643200. Its totient is φ = 32215680000.

The previous prime is 100778640527. The next prime is 100778640541. The reversal of 100778640528 is 825046877001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100778640527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89263068 + ... + 89264196.

It is an arithmetic number, because the mean of its divisors is an integer number (1694891520).

Almost surely, 2^100778640528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100778640528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135591321600).

100778640528 is an abundant number, since it is smaller than the sum of its proper divisors (170404002672).

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

100778640528 is a wasteful number, since it uses less digits than its factorization.

100778640528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 100778640528 in words is "one hundred billion, seven hundred seventy-eight million, six hundred forty thousand, five hundred twenty-eight".