105437133 has 10 divisors (see below), whose sum is σ = 157504974. Its totient is φ = 70291368.

The previous prime is 105437131. The next prime is 105437149. The reversal of 105437133 is 331734501.

It can be written as a sum of positive squares in only one way, i.e., 90668484 + 14768649 = 9522^2 + 3843^2 .

It is not a de Polignac number, because 105437133 - 2¹ = 105437131 is a prime.

It is a super-2 number, since 2×105437133² = 22233978030519378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105437097 and 105437106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105437131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 650766 + ... + 650927.

Almost surely, 2^105437133 is an apocalyptic number.

It is an amenable number.

105437133 is a deficient number, since it is larger than the sum of its proper divisors (52067841).

105437133 is an equidigital number, since it uses as much as digits as its factorization.

105437133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301705 (or 1301696 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 105437133 is about 10268.2585183662. The cubic root of 105437133 is about 472.4231772306.

It can be divided in two parts, 105437 and 133, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105437133 in words is "one hundred five million, four hundred thirty-seven thousand, one hundred thirty-three".