106525133 has 24 divisors (see below), whose sum is σ = 127070328. Its totient is φ = 88704000.

The previous prime is 106525127. The next prime is 106525157. The reversal of 106525133 is 331525601.

It can be written as a sum of positive squares in 4 ways, for example, as 17656804 + 88868329 = 4202^2 + 9427^2 .

It is not a de Polignac number, because 106525133 - 2¹⁶ = 106459597 is a prime.

It is a super-2 number, since 2×106525133² = 22695207921335378, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106525193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378953 + ... + 379233.

It is an arithmetic number, because the mean of its divisors is an integer number (5294597).

Almost surely, 2^106525133 is an apocalyptic number.

106525133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106525133 is a deficient number, since it is larger than the sum of its proper divisors (20545195).

106525133 is a wasteful number, since it uses less digits than its factorization.

106525133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 106525133 is about 10321.1013462711. The cubic root of 106525133 is about 474.0425893592.

The spelling of 106525133 in words is "one hundred six million, five hundred twenty-five thousand, one hundred thirty-three".