106712625160 has 32 divisors (see below), whose sum is σ = 240115930200. Its totient is φ = 42682823680.

The previous prime is 106712625101. The next prime is 106712625163. The reversal of 106712625160 is 61526217601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76205810916 + 30506814244 = 276054^2 + 174662^2 .

It is a super-2 number, since 2×106712625160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106712625163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 860346 + ... + 976534.

Almost surely, 2^106712625160 is an apocalyptic number.

106712625160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106712625160 is an abundant number, since it is smaller than the sum of its proper divisors (133403305040).

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

106712625160 is a wasteful number, since it uses less digits than its factorization.

106712625160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139161 (or 139157 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 106712625160 in words is "one hundred six billion, seven hundred twelve million, six hundred twenty-five thousand, one hundred sixty".