105149693712 has 80 divisors (see below), whose sum is σ = 310487488640. Its totient is φ = 30038363136.

The previous prime is 105149693711. The next prime is 105149693713. The reversal of 105149693712 is 217396941501.

It is an interprime number because it is at equal distance from previous prime (105149693711) and next prime (105149693713).

It is a super-2 number, since 2×105149693712² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (105149693711) 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, 2779758 + ... + 2817330.

It is an arithmetic number, because the mean of its divisors is an integer number (3881093608).

Almost surely, 2^105149693712 is an apocalyptic number.

105149693712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105149693712 is an abundant number, since it is smaller than the sum of its proper divisors (205337794928).

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

105149693712 is a wasteful number, since it uses less digits than its factorization.

105149693712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45920 (or 45914 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 105149693712 in words is "one hundred five billion, one hundred forty-nine million, six hundred ninety-three thousand, seven hundred twelve".