105381249 has 12 divisors (see below), whose sum is σ = 149260944. Its totient is φ = 66121024.

The previous prime is 105381233. The next prime is 105381271. The reversal of 105381249 is 942183501.

It is not a de Polignac number, because 105381249 - 2⁴ = 105381233 is a prime.

It is a super-2 number, since 2×105381249² = 22210415281600002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105381209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59907 + ... + 61640.

It is an arithmetic number, because the mean of its divisors is an integer number (12438412).

Almost surely, 2^105381249 is an apocalyptic number.

It is an amenable number.

105381249 is a deficient number, since it is larger than the sum of its proper divisors (43879695).

105381249 is a wasteful number, since it uses less digits than its factorization.

105381249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121584 (or 121567 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105381249 is about 10265.5369562434. The cubic root of 105381249 is about 472.3396975879.

The spelling of 105381249 in words is "one hundred five million, three hundred eighty-one thousand, two hundred forty-nine".