106523993 has 8 divisors (see below), whose sum is σ = 107788296. Its totient is φ = 105264000.

The previous prime is 106523987. The next prime is 106524001. The reversal of 106523993 is 399325601.

It can be written as a sum of positive squares in 4 ways, for example, as 77933584 + 28590409 = 8828^2 + 5347^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106523993 - 2⁸ = 106523737 is a prime.

It is a super-2 number, since 2×106523993² = 22694722169328098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106523953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102605 + ... + 103637.

It is an arithmetic number, because the mean of its divisors is an integer number (13473537).

Almost surely, 2^106523993 is an apocalyptic number.

It is an amenable number.

106523993 is a deficient number, since it is larger than the sum of its proper divisors (1264303).

106523993 is a wasteful number, since it uses less digits than its factorization.

106523993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155.

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 106523993 is about 10321.0461194590. The cubic root of 106523993 is about 474.0408983327.

The spelling of 106523993 in words is "one hundred six million, five hundred twenty-three thousand, nine hundred ninety-three".