106610680264 has 64 divisors (see below), whose sum is σ = 227644784640. Its totient is φ = 46332855360.

The previous prime is 106610680259. The next prime is 106610680273. The reversal of 106610680264 is 462086016601.

It is a happy number.

It is a super-2 number, since 2×106610680264² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5428687 + ... + 5448289.

It is an arithmetic number, because the mean of its divisors is an integer number (3556949760).

Almost surely, 2^106610680264 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 106610680264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113822392320).

106610680264 is an abundant number, since it is smaller than the sum of its proper divisors (121034104376).

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

106610680264 is a wasteful number, since it uses less digits than its factorization.

106610680264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22330 (or 22326 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

Adding to 106610680264 its reverse (462086016601), we get a palindrome (568696696865).

The spelling of 106610680264 in words is "one hundred six billion, six hundred ten million, six hundred eighty thousand, two hundred sixty-four".