120893628105100 has 72 divisors (see below), whose sum is σ = 267925174816320. Its totient is φ = 47327806648320.

The previous prime is 120893628105097. The next prime is 120893628105101. The reversal of 120893628105100 is 1501826398021.

It is not an unprimeable number, because it can be changed into a prime (120893628105101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356979052 + ... + 357317548.

It is an arithmetic number, because the mean of its divisors is an integer number (3721182983560).

Almost surely, 2^{120893628105100} is an apocalyptic number.

120893628105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120893628105100 is an abundant number, since it is smaller than the sum of its proper divisors (147031546711220).

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

120893628105100 is a wasteful number, since it uses less digits than its factorization.

120893628105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414547 (or 414540 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 120893628105100 in words is "one hundred twenty trillion, eight hundred ninety-three billion, six hundred twenty-eight million, one hundred five thousand, one hundred".