100763326080 has 480 divisors, whose sum is σ = 366138635940. Its totient is φ = 26408042496.

The previous prime is 100763326061. The next prime is 100763326087. The reversal of 100763326080 is 80623367001.

It is a happy number.

100763326080 is a `hidden beast` number, since 10 + 0 + 7 + 6 + 3 + 32 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92362503744 + 8400822336 = 303912^2 + 91656^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100763326087) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232709544 + ... + 232709976.

Almost surely, 2^100763326080 is an apocalyptic number.

100763326080 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 100763326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183069317970).

100763326080 is an abundant number, since it is smaller than the sum of its proper divisors (265375309860).

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

100763326080 is an frugal number, since it uses more digits than its factorization.

100763326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 100763326080 in words is "one hundred billion, seven hundred sixty-three million, three hundred twenty-six thousand, eighty".