106313233 has 8 divisors (see below), whose sum is σ = 115328808. Its totient is φ = 97417344.

The previous prime is 106313219. The next prime is 106313293. The reversal of 106313233 is 332313601.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 105329169 = 992^2 + 10263^2 .

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 106313233 - 2¹³ = 106305041 is a prime.

It is a super-2 number, since 2×106313233² = 22605007021824578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106313293) 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, 28066 + ... + 31627.

It is an arithmetic number, because the mean of its divisors is an integer number (14416101).

Almost surely, 2^106313233 is an apocalyptic number.

106313233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106313233 is a deficient number, since it is larger than the sum of its proper divisors (9015575).

106313233 is a wasteful number, since it uses less digits than its factorization.

106313233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59843.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 106313233 is about 10310.8308588590. The cubic root of 106313233 is about 473.7280585675.

Adding to 106313233 its reverse (332313601), we get a palindrome (438626834).

The spelling of 106313233 in words is "one hundred six million, three hundred thirteen thousand, two hundred thirty-three".