100761363072 has 64 divisors (see below), whose sum is σ = 297385977600. Its totient is φ = 33587119872.

The previous prime is 100761362987. The next prime is 100761363133. The reversal of 100761363072 is 270363167001.

100761363072 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 6 + 13 + 630 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14574288 + ... + 14581199.

It is an arithmetic number, because the mean of its divisors is an integer number (4646655900).

Almost surely, 2^100761363072 is an apocalyptic number.

100761363072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100761363072 is an abundant number, since it is smaller than the sum of its proper divisors (196624614528).

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

100761363072 is an equidigital number, since it uses as much as digits as its factorization.

100761363072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29155510 (or 29155492 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 100761363072 in words is "one hundred billion, seven hundred sixty-one million, three hundred sixty-three thousand, seventy-two".