106365246344 has 32 divisors (see below), whose sum is σ = 237835336320. Its totient is φ = 43603143936.

The previous prime is 106365246313. The next prime is 106365246353. The reversal of 106365246344 is 443642563601.

It is a super-2 number, since 2×106365246344² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106365246295 and 106365246304.

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 7 ways as a sum of consecutive naturals, for example, 41289569 + ... + 41292144.

It is an arithmetic number, because the mean of its divisors is an integer number (7432354260).

Almost surely, 2^106365246344 is an apocalyptic number.

106365246344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106365246344 is an abundant number, since it is smaller than the sum of its proper divisors (131470089976).

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

106365246344 is a wasteful number, since it uses less digits than its factorization.

106365246344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82581749 (or 82581745 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 106365246344 in words is "one hundred six billion, three hundred sixty-five million, two hundred forty-six thousand, three hundred forty-four".