106729136694 has 24 divisors (see below), whose sum is σ = 237496368720. Its totient is φ = 34614854928.

The previous prime is 106729136651. The next prime is 106729136713. The reversal of 106729136694 is 496631927601.

106729136694 is a `hidden beast` number, since 106 + 7 + 2 + 91 + 366 + 94 = 666.

It is a super-3 number, since 3×106729136694³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106729136694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80126314 + ... + 80127645.

It is an arithmetic number, because the mean of its divisors is an integer number (9895682030).

Almost surely, 2^106729136694 is an apocalyptic number.

106729136694 is an abundant number, since it is smaller than the sum of its proper divisors (130767232026).

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

106729136694 is a wasteful number, since it uses less digits than its factorization.

106729136694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160254004 (or 160254001 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 106729136694 in words is "one hundred six billion, seven hundred twenty-nine million, one hundred thirty-six thousand, six hundred ninety-four".