105155940 has 24 divisors (see below), whose sum is σ = 294436800. Its totient is φ = 28041568.

The previous prime is 105155933. The next prime is 105155959. The reversal of 105155940 is 49551501.

It is a super-2 number, since 2×105155940² = 22115543434567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105155898 and 105155907.

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, 876240 + ... + 876359.

It is an arithmetic number, because the mean of its divisors is an integer number (12268200).

Almost surely, 2^105155940 is an apocalyptic number.

105155940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105155940 is an abundant number, since it is smaller than the sum of its proper divisors (189280860).

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

105155940 is a wasteful number, since it uses less digits than its factorization.

105155940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752611 (or 1752609 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 105155940 is about 10254.5570357768. The cubic root of 105155940 is about 472.0028308266.

The spelling of 105155940 in words is "one hundred five million, one hundred fifty-five thousand, nine hundred forty".