106105608644 has 48 divisors (see below), whose sum is σ = 213351116160. Its totient is φ = 45230227200.

The previous prime is 106105608629. The next prime is 106105608683. The reversal of 106105608644 is 446806501601.

It is a super-2 number, since 2×106105608644² (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 15 ways as a sum of consecutive naturals, for example, 3960494 + ... + 3987194.

It is an arithmetic number, because the mean of its divisors is an integer number (4444814920).

Almost surely, 2^106105608644 is an apocalyptic number.

106105608644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106105608644 is an abundant number, since it is smaller than the sum of its proper divisors (107245507516).

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

106105608644 is a wasteful number, since it uses less digits than its factorization.

106105608644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27468 (or 27466 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 106105608644 in words is "one hundred six billion, one hundred five million, six hundred eight thousand, six hundred forty-four".