105113640 has 32 divisors (see below), whose sum is σ = 315341280. Its totient is φ = 28030272.

The previous prime is 105113639. The next prime is 105113651. The reversal of 105113640 is 46311501.

It is a super-2 number, since 2×105113640² = 22097754628099200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 437854 + ... + 438093.

It is an arithmetic number, because the mean of its divisors is an integer number (9854415).

Almost surely, 2^105113640 is an apocalyptic number.

105113640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105113640 is an abundant number, since it is smaller than the sum of its proper divisors (210227640).

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

105113640 is a wasteful number, since it uses less digits than its factorization.

105113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875961 (or 875957 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105113640 is about 10252.4943306495. The cubic root of 105113640 is about 471.9395330948.

The spelling of 105113640 in words is "one hundred five million, one hundred thirteen thousand, six hundred forty".