106701114137 has 32 divisors (see below), whose sum is σ = 112586360832. Its totient is φ = 101019086784.

The previous prime is 106701114133. The next prime is 106701114187. The reversal of 106701114137 is 731411107601.

It is not a de Polignac number, because 106701114137 - 2² = 106701114133 is a prime.

It is a super-2 number, since 2×106701114137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106701114133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112672298 + ... + 112673244.

It is an arithmetic number, because the mean of its divisors is an integer number (3518323776).

Almost surely, 2^106701114137 is an apocalyptic number.

It is an amenable number.

106701114137 is a deficient number, since it is larger than the sum of its proper divisors (5885246695).

106701114137 is a wasteful number, since it uses less digits than its factorization.

106701114137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517.

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 106701114137 in words is "one hundred six billion, seven hundred one million, one hundred fourteen thousand, one hundred thirty-seven".