105651215772012 has 24 divisors (see below), whose sum is σ = 273910559409200. Its totient is φ = 35217071923968.

The previous prime is 105651215771993. The next prime is 105651215772017. The reversal of 105651215772012 is 210277512156501.

105651215772012 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 51 + 2 + 1 + 577 + 20 + 1 + 2 = 666.

It is a super-2 number, since 2×105651215772012² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105651215772017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489125998837 + ... + 489125999052.

Almost surely, 2^{105651215772012} is an apocalyptic number.

105651215772012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105651215772012 is an abundant number, since it is smaller than the sum of its proper divisors (168259343637188).

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

105651215772012 is a wasteful number, since it uses less digits than its factorization.

105651215772012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978251997902 (or 978251997894 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 105651215772012 in words is "one hundred five trillion, six hundred fifty-one billion, two hundred fifteen million, seven hundred seventy-two thousand, twelve".