106102405344 has 96 divisors (see below), whose sum is σ = 302133192480. Its totient is φ = 32408543232.

The previous prime is 106102405313. The next prime is 106102405363. The reversal of 106102405344 is 443504201601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106102405344² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 139309 + ... + 481260.

It is an arithmetic number, because the mean of its divisors is an integer number (3147220755).

Almost surely, 2^106102405344 is an apocalyptic number.

It is an amenable number.

106102405344 is an abundant number, since it is smaller than the sum of its proper divisors (196030787136).

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

106102405344 is a wasteful number, since it uses less digits than its factorization.

106102405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620732 (or 620724 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 106102405344 its reverse (443504201601), we get a palindrome (549606606945).

The spelling of 106102405344 in words is "one hundred six billion, one hundred two million, four hundred five thousand, three hundred forty-four".