106105333525 has 24 divisors (see below), whose sum is σ = 134085853224. Its totient is φ = 83262316800.

The previous prime is 106105333513. The next prime is 106105333549. The reversal of 106105333525 is 525333501601.

It can be written as a sum of positive squares in 12 ways, for example, as 24573384081 + 81531949444 = 156759^2 + 285538^2 .

It is not a de Polignac number, because 106105333525 - 2⁵ = 106105333493 is a prime.

It is a super-2 number, since 2×106105333525² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7705947 + ... + 7719703.

It is an arithmetic number, because the mean of its divisors is an integer number (5586910551).

Almost surely, 2^106105333525 is an apocalyptic number.

It is an amenable number.

106105333525 is a deficient number, since it is larger than the sum of its proper divisors (27980519699).

106105333525 is a wasteful number, since it uses less digits than its factorization.

106105333525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19641 (or 19636 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The spelling of 106105333525 in words is "one hundred six billion, one hundred five million, three hundred thirty-three thousand, five hundred twenty-five".