105106210664 has 64 divisors (see below), whose sum is σ = 242594352000. Its totient is φ = 41573355264.

The previous prime is 105106210661. The next prime is 105106210673. The reversal of 105106210664 is 466012601501.

It is a super-2 number, since 2×105106210664² (a number of 23 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 105106210664.

It is not an unprimeable number, because it can be changed into a prime (105106210661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6862487 + ... + 6877785.

It is an arithmetic number, because the mean of its divisors is an integer number (3790536750).

Almost surely, 2^105106210664 is an apocalyptic number.

105106210664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105106210664 is an abundant number, since it is smaller than the sum of its proper divisors (137488141336).

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

105106210664 is a wasteful number, since it uses less digits than its factorization.

105106210664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24762 (or 24758 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 105106210664 in words is "one hundred five billion, one hundred six million, two hundred ten thousand, six hundred sixty-four".