100766066352 has 80 divisors (see below), whose sum is σ = 298810612992. Its totient is φ = 28663453440.

The previous prime is 100766066309. The next prime is 100766066353. The reversal of 100766066352 is 253660667001.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (100766066353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584299 + ... + 736842.

Almost surely, 2^100766066352 is an apocalyptic number.

100766066352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100766066352 is an abundant number, since it is smaller than the sum of its proper divisors (198044546640).

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

100766066352 is a wasteful number, since it uses less digits than its factorization.

100766066352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321386 (or 1321380 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 100766066352 in words is "one hundred billion, seven hundred sixty-six million, sixty-six thousand, three hundred fifty-two".