106266131026704 has 180 divisors, whose sum is σ = 330065259346368. Its totient is φ = 31889217951360.

The previous prime is 106266131026661. The next prime is 106266131026723. The reversal of 106266131026704 is 407620131662601.

106266131026704 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 613 + 1 + 0 + 26 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×106266131026704² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106266131026704.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27811332 + ... + 31400675.

Almost surely, 2^{106266131026704} is an apocalyptic number.

It is an amenable number.

106266131026704 is an abundant number, since it is smaller than the sum of its proper divisors (223799128319664).

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

106266131026704 is a wasteful number, since it uses less digits than its factorization.

106266131026704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59212146 (or 59212126 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106266131026704 in words is "one hundred six trillion, two hundred sixty-six billion, one hundred thirty-one million, twenty-six thousand, seven hundred four".