106152993 has 12 divisors (see below), whose sum is σ = 155846548. Its totient is φ = 69608160.

The previous prime is 106152979. The next prime is 106153007. The reversal of 106152993 is 399251601.

106152993 is a `hidden beast` number, since 10 + 615 + 29 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (106152979) and next prime (106153007).

It can be written as a sum of positive squares in 2 ways, for example, as 36397089 + 69755904 = 6033^2 + 8352^2 .

It is not a de Polignac number, because 106152993 - 2⁸ = 106152737 is a prime.

It is a super-2 number, since 2×106152993² = 22536915845716098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106162993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96130 + ... + 97227.

Almost surely, 2^106152993 is an apocalyptic number.

It is an amenable number.

106152993 is a deficient number, since it is larger than the sum of its proper divisors (49693555).

106152993 is a wasteful number, since it uses less digits than its factorization.

106152993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193424 (or 193421 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 106152993 is about 10303.0574588323. The cubic root of 106152993 is about 473.4899309381.

The spelling of 106152993 in words is "one hundred six million, one hundred fifty-two thousand, nine hundred ninety-three".