106507148013 has 48 divisors (see below), whose sum is σ = 178238361600. Its totient is φ = 60026222880.

The previous prime is 106507148009. The next prime is 106507148021. The reversal of 106507148013 is 310841705601.

106507148013 is a `hidden beast` number, since 1 + 0 + 6 + 507 + 148 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 106507148013 - 2² = 106507148009 is a prime.

It is a super-2 number, since 2×106507148013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106507148003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4821648 + ... + 4843686.

It is an arithmetic number, because the mean of its divisors is an integer number (3713299200).

Almost surely, 2^106507148013 is an apocalyptic number.

It is an amenable number.

106507148013 is a deficient number, since it is larger than the sum of its proper divisors (71731213587).

106507148013 is a wasteful number, since it uses less digits than its factorization.

106507148013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23102 (or 23099 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 106507148013 in words is "one hundred six billion, five hundred seven million, one hundred forty-eight thousand, thirteen".