106376993 has 2 divisors, whose sum is σ = 106376994. Its totient is φ = 106376992.

The previous prime is 106376951. The next prime is 106377013. The reversal of 106376993 is 399673601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75829264 + 30547729 = 8708^2 + 5527^2 .

It is an emirp because it is prime and its reverse (399673601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106376993 - 2¹⁴ = 106360609 is a prime.

It is a super-2 number, since 2×106376993² = 22632129279444098, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106376923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53188496 + 53188497.

It is an arithmetic number, because the mean of its divisors is an integer number (53188497).

Almost surely, 2^106376993 is an apocalyptic number.

It is an amenable number.

106376993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106376993 is an equidigital number, since it uses as much as digits as its factorization.

106376993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 183708, while the sum is 44.

The square root of 106376993 is about 10313.9222897984. The cubic root of 106376993 is about 473.8227437534.

The spelling of 106376993 in words is "one hundred six million, three hundred seventy-six thousand, nine hundred ninety-three".