105115860 has 48 divisors (see below), whose sum is σ = 327028800. Its totient is φ = 28030752.

The previous prime is 105115849. The next prime is 105115861. The reversal of 105115860 is 68511501.

It is a super-2 number, since 2×105115860² = 22098688047079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105115861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96790 + ... + 97869.

It is an arithmetic number, because the mean of its divisors is an integer number (6813100).

Almost surely, 2^105115860 is an apocalyptic number.

105115860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105115860 is an abundant number, since it is smaller than the sum of its proper divisors (221912940).

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

105115860 is a wasteful number, since it uses less digits than its factorization.

105115860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194677 (or 194669 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 105115860 is about 10252.6025964142. The cubic root of 105115860 is about 471.9428555256.

The spelling of 105115860 in words is "one hundred five million, one hundred fifteen thousand, eight hundred sixty".