106852993 has 8 divisors (see below), whose sum is σ = 115228008. Its totient is φ = 98500224.

The previous prime is 106852957. The next prime is 106853057. The reversal of 106852993 is 399258601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2241009 + 104611984 = 1497^2 + 10228^2 .

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 106852993 - 2¹⁷ = 106721921 is a prime.

It is a super-2 number, since 2×106852993² = 22835124226116098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106852093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5205 + ... + 15517.

It is an arithmetic number, because the mean of its divisors is an integer number (14403501).

Almost surely, 2^106852993 is an apocalyptic number.

106852993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106852993 is a deficient number, since it is larger than the sum of its proper divisors (8375015).

106852993 is a wasteful number, since it uses less digits than its factorization.

106852993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123.

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 106852993 is about 10336.9721388809. The cubic root of 106852993 is about 474.5284228347.

The spelling of 106852993 in words is "one hundred six million, eight hundred fifty-two thousand, nine hundred ninety-three".