100672665345 has 64 divisors (see below), whose sum is σ = 204582144000. Its totient is φ = 46012598208.

The previous prime is 100672665241. The next prime is 100672665349. The reversal of 100672665345 is 543566276001.

100672665345 is a `hidden beast` number, since 100 + 6 + 7 + 2 + 6 + 6 + 534 + 5 = 666.

It is not a de Polignac number, because 100672665345 - 2⁷ = 100672665217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100672665345.

It is not an unprimeable number, because it can be changed into a prime (100672665349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7609146 + ... + 7622364.

It is an arithmetic number, because the mean of its divisors is an integer number (3196596000).

Almost surely, 2^100672665345 is an apocalyptic number.

100672665345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100672665345 is an abundant number, since it is smaller than the sum of its proper divisors (103909478655).

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

100672665345 is a wasteful number, since it uses less digits than its factorization.

100672665345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21299 (or 21293 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 100672665345 in words is "one hundred billion, six hundred seventy-two million, six hundred sixty-five thousand, three hundred forty-five".