100764709520 has 20 divisors (see below), whose sum is σ = 234277949820. Its totient is φ = 40305883776.

The previous prime is 100764709517. The next prime is 100764709523. The reversal of 100764709520 is 25907467001.

It is an interprime number because it is at equal distance from previous prime (100764709517) and next prime (100764709523).

It can be written as a sum of positive squares in 2 ways, for example, as 80299690384 + 20465019136 = 283372^2 + 143056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (100764709523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629779355 + ... + 629779514.

It is an arithmetic number, because the mean of its divisors is an integer number (11713897491).

Almost surely, 2^100764709520 is an apocalyptic number.

100764709520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100764709520 is an abundant number, since it is smaller than the sum of its proper divisors (133513240300).

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

100764709520 is a wasteful number, since it uses less digits than its factorization.

100764709520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259558882 (or 1259558876 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 100764709520 in words is "one hundred billion, seven hundred sixty-four million, seven hundred nine thousand, five hundred twenty".