105158040 has 64 divisors (see below), whose sum is σ = 339746400. Its totient is φ = 25884672.

The previous prime is 105158021. The next prime is 105158051. The reversal of 105158040 is 40851501.

It is a super-2 number, since 2×105158040² = 22116426753283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105158040.

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 15 ways as a sum of consecutive naturals, for example, 32145 + ... + 35264.

Almost surely, 2^105158040 is an apocalyptic number.

105158040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105158040 is an abundant number, since it is smaller than the sum of its proper divisors (234588360).

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

105158040 is a wasteful number, since it uses less digits than its factorization.

105158040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67436 (or 67432 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 105158040 is about 10254.6594287670. The cubic root of 105158040 is about 472.0059728249.

The spelling of 105158040 in words is "one hundred five million, one hundred fifty-eight thousand, forty".