106734025134 has 160 divisors (see below), whose sum is σ = 269165080800. Its totient is φ = 31327637760.

The previous prime is 106734025127. The next prime is 106734025163. The reversal of 106734025134 is 431520437601.

106734025134 is a `hidden beast` number, since 1 + 0 + 67 + 340 + 251 + 3 + 4 = 666.

It is a super-3 number, since 3×106734025134³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15095352 + ... + 15102420.

It is an arithmetic number, because the mean of its divisors is an integer number (1682281755).

Almost surely, 2^106734025134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106734025134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134582540400).

106734025134 is an abundant number, since it is smaller than the sum of its proper divisors (162431055666).

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

106734025134 is a wasteful number, since it uses less digits than its factorization.

106734025134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 106734025134 in words is "one hundred six billion, seven hundred thirty-four million, twenty-five thousand, one hundred thirty-four".