105249914 has 24 divisors (see below), whose sum is σ = 198325344. Its totient is φ = 41005800.

The previous prime is 105249901. The next prime is 105249919. The reversal of 105249914 is 419942501.

It is a super-2 number, since 2×105249914² = 22155088794014792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105249919) 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, 29372 + ... + 32759.

It is an arithmetic number, because the mean of its divisors is an integer number (8263556).

Almost surely, 2^105249914 is an apocalyptic number.

105249914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105249914 is a deficient number, since it is larger than the sum of its proper divisors (93075430).

105249914 is a wasteful number, since it uses less digits than its factorization.

105249914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62162 (or 62151 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105249914 is about 10259.1380729572. The cubic root of 105249914 is about 472.1433928259.

The spelling of 105249914 in words is "one hundred five million, two hundred forty-nine thousand, nine hundred fourteen".