106501686813 has 16 divisors (see below), whose sum is σ = 157801733760. Its totient is φ = 70991468928.

The previous prime is 106501686787. The next prime is 106501686821. The reversal of 106501686813 is 318686105601.

106501686813 is a `hidden beast` number, since 1 + 0 + 6 + 501 + 68 + 6 + 81 + 3 = 666.

It is not a de Polignac number, because 106501686813 - 2³⁰ = 105427944989 is a prime.

It is a super-2 number, since 2×106501686813² (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 (106501686013) 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, 63145 + ... + 465822.

It is an arithmetic number, because the mean of its divisors is an integer number (9862608360).

Almost surely, 2^106501686813 is an apocalyptic number.

It is an amenable number.

106501686813 is a deficient number, since it is larger than the sum of its proper divisors (51300046947).

106501686813 is an equidigital number, since it uses as much as digits as its factorization.

106501686813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536433 (or 536427 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 106501686813 in words is "one hundred six billion, five hundred one million, six hundred eighty-six thousand, eight hundred thirteen".