105617362212 has 30 divisors (see below), whose sum is σ = 276104648358. Its totient is φ = 35205787296.

The previous prime is 105617362199. The next prime is 105617362229. The reversal of 105617362212 is 212263716501.

105617362212 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 17 + 3 + 622 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71324248356 + 34293113856 = 267066^2 + 185184^2 .

It is a super-2 number, since 2×105617362212² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 162989433 + ... + 162990080.

Almost surely, 2^105617362212 is an apocalyptic number.

105617362212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105617362212 is an abundant number, since it is smaller than the sum of its proper divisors (170487286146).

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

105617362212 is a wasteful number, since it uses less digits than its factorization.

105617362212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325979529 (or 325979518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 105617362212 in words is "one hundred five billion, six hundred seventeen million, three hundred sixty-two thousand, two hundred twelve".