105672233 has 2 divisors, whose sum is σ = 105672234. Its totient is φ = 105672232.

The previous prime is 105672181. The next prime is 105672241. The reversal of 105672233 is 332276501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62283664 + 43388569 = 7892^2 + 6587^2 .

It is a cyclic number.

It is not a de Polignac number, because 105672233 - 2⁶ = 105672169 is a prime.

It is a super-2 number, since 2×105672233² = 22333241654412578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105672196 and 105672205.

It is not a weakly prime, because it can be changed into another prime (105672283) 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 as a sum of consecutive naturals, namely, 52836116 + 52836117.

It is an arithmetic number, because the mean of its divisors is an integer number (52836117).

Almost surely, 2^105672233 is an apocalyptic number.

It is an amenable number.

105672233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105672233 is an equidigital number, since it uses as much as digits as its factorization.

105672233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 105672233 is about 10279.7000442620. The cubic root of 105672233 is about 472.7740474191.

The spelling of 105672233 in words is "one hundred five million, six hundred seventy-two thousand, two hundred thirty-three".