105133364 has 12 divisors (see below), whose sum is σ = 210266784. Its totient is φ = 45057144.

The previous prime is 105133351. The next prime is 105133373. The reversal of 105133364 is 463331501.

105133364 is an admirable number.

It is a super-2 number, since 2×105133364² = 22106048451912992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1877354 + ... + 1877409.

It is an arithmetic number, because the mean of its divisors is an integer number (17522232).

Almost surely, 2^105133364 is an apocalyptic number.

105133364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105133364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105133364 is a wasteful number, since it uses less digits than its factorization.

105133364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754774 (or 3754772 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 105133364 is about 10253.4561977901. The cubic root of 105133364 is about 471.9690502066.

Adding to 105133364 its reverse (463331501), we get a palindrome (568464865).

The spelling of 105133364 in words is "one hundred five million, one hundred thirty-three thousand, three hundred sixty-four".