106871692536 has 192 divisors, whose sum is σ = 332912099520. Its totient is φ = 30339809280.

The previous prime is 106871692513. The next prime is 106871692589. The reversal of 106871692536 is 635296178601.

106871692536 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 7 + 16 + 92 + 536 = 666.

It is a super-2 number, since 2×106871692536² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103457076 + ... + 103458108.

It is an arithmetic number, because the mean of its divisors is an integer number (1733917185).

Almost surely, 2^106871692536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106871692536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166456049760).

106871692536 is an abundant number, since it is smaller than the sum of its proper divisors (226040406984).

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

106871692536 is a wasteful number, since it uses less digits than its factorization.

106871692536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 106871692536 in words is "one hundred six billion, eight hundred seventy-one million, six hundred ninety-two thousand, five hundred thirty-six".