105137118612 has 24 divisors (see below), whose sum is σ = 272577715200. Its totient is φ = 35045706168.

The previous prime is 105137118601. The next prime is 105137118623. The reversal of 105137118612 is 216811731501.

It is a happy number.

105137118612 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 37 + 1 + 1 + 8 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (105137118601) and next prime (105137118623).

It is a super-2 number, since 2×105137118612² (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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486745812 + ... + 486746027.

It is an arithmetic number, because the mean of its divisors is an integer number (11357404800).

Almost surely, 2^105137118612 is an apocalyptic number.

105137118612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105137118612 is an abundant number, since it is smaller than the sum of its proper divisors (167440596588).

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

105137118612 is a wasteful number, since it uses less digits than its factorization.

105137118612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973491852 (or 973491844 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 105137118612 in words is "one hundred five billion, one hundred thirty-seven million, one hundred eighteen thousand, six hundred twelve".