106686609536 has 64 divisors (see below), whose sum is σ = 229016856600. Its totient is φ = 49212456960.

The previous prime is 106686609517. The next prime is 106686609553. The reversal of 106686609536 is 635906686601.

It can be written as a sum of positive squares in 4 ways, for example, as 72662593600 + 34024015936 = 269560^2 + 184456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106686609536² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3126326 + ... + 3160266.

Almost surely, 2^106686609536 is an apocalyptic number.

106686609536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106686609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114508428300).

106686609536 is an abundant number, since it is smaller than the sum of its proper divisors (122330247064).

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

106686609536 is a wasteful number, since it uses less digits than its factorization.

106686609536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35857 (or 35845 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 56.

The spelling of 106686609536 in words is "one hundred six billion, six hundred eighty-six million, six hundred nine thousand, five hundred thirty-six".