105606662112 has 120 divisors (see below), whose sum is σ = 354955786416. Its totient is φ = 30173326848.

The previous prime is 105606662111. The next prime is 105606662113. The reversal of 105606662112 is 211266606501.

It is an interprime number because it is at equal distance from previous prime (105606662111) and next prime (105606662113).

It is a super-2 number, since 2×105606662112² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606662111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2892093 + ... + 2928380.

Almost surely, 2^105606662112 is an apocalyptic number.

105606662112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105606662112 is an abundant number, since it is smaller than the sum of its proper divisors (249349124304).

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

105606662112 is an equidigital number, since it uses as much as digits as its factorization.

105606662112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820502 (or 5820485 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 105606662112 in words is "one hundred five billion, six hundred six million, six hundred sixty-two thousand, one hundred twelve".