120893628105105 has 16 divisors (see below), whose sum is σ = 193433437571904. Its totient is φ = 64475390788160.

The previous prime is 120893628105101. The next prime is 120893628105121. The reversal of 120893628105105 is 501501826398021.

It is not a de Polignac number, because 120893628105105 - 2² = 120893628105101 is a prime.

It is a super-2 number, since 2×120893628105105² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 15 ways as a sum of consecutive naturals, for example, 74853606 + ... + 76451615.

It is an arithmetic number, because the mean of its divisors is an integer number (12089589848244).

Almost surely, 2^{120893628105105} is an apocalyptic number.

120893628105105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120893628105105 is a deficient number, since it is larger than the sum of its proper divisors (72539809466799).

120893628105105 is a wasteful number, since it uses less digits than its factorization.

120893628105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151358496.

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 120893628105105 in words is "one hundred twenty trillion, eight hundred ninety-three billion, six hundred twenty-eight million, one hundred five thousand, one hundred five".