106134836976 has 80 divisors (see below), whose sum is σ = 348167200000. Its totient is φ = 30324238272.

The previous prime is 106134836963. The next prime is 106134836981. The reversal of 106134836976 is 679638431601.

It is a happy number.

106134836976 is a `hidden beast` number, since 10 + 61 + 3 + 483 + 6 + 97 + 6 = 666.

It is a super-2 number, since 2×106134836976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17545726 + ... + 17551773.

It is an arithmetic number, because the mean of its divisors is an integer number (4352090000).

Almost surely, 2^106134836976 is an apocalyptic number.

106134836976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106134836976 is an abundant number, since it is smaller than the sum of its proper divisors (242032363024).

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

106134836976 is a wasteful number, since it uses less digits than its factorization.

106134836976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35097523 (or 35097511 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 106134836976 in words is "one hundred six billion, one hundred thirty-four million, eight hundred thirty-six thousand, nine hundred seventy-six".