105119040 has 112 divisors (see below), whose sum is σ = 359468928. Its totient is φ = 25872384.

The previous prime is 105119029. The next prime is 105119089. The reversal of 105119040 is 40911501.

It is a super-2 number, since 2×105119040² = 22100025141043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105118998 and 105119016.

It is a congruent number.

It is an unprimeable number.

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, 8269 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^105119040 is an apocalyptic number.

105119040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

105119040 is an abundant number, since it is smaller than the sum of its proper divisors (254349888).

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

105119040 is a wasteful number, since it uses less digits than its factorization.

105119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 105119040 is about 10252.7576778153. The cubic root of 105119040 is about 471.9476146018.

The spelling of 105119040 in words is "one hundred five million, one hundred nineteen thousand, forty".