105240987 has 48 divisors (see below), whose sum is σ = 163257120. Its totient is φ = 65235456.

The previous prime is 105240979. The next prime is 105240991. The reversal of 105240987 is 789042501.

It is not a de Polignac number, because 105240987 - 2³ = 105240979 is a prime.

It is a super-2 number, since 2×105240987² = 22151330689468338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105240907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182439 + ... + 1182527.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2^105240987 is an apocalyptic number.

105240987 is a deficient number, since it is larger than the sum of its proper divisors (58016133).

105240987 is a wasteful number, since it uses less digits than its factorization.

105240987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105240987 is about 10258.7029881950. The cubic root of 105240987 is about 472.1300438261.

The spelling of 105240987 in words is "one hundred five million, two hundred forty thousand, nine hundred eighty-seven".