105219840 has 288 divisors, whose sum is σ = 381459456. Its totient is φ = 24494080.

The previous prime is 105219809. The next prime is 105219869. The reversal of 105219840 is 48912501.

It is a happy number.

It is a super-2 number, since 2×105219840² = 22142429459251200, 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 = 105219798 and 105219807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985254 + ... + 1985306.

It is an arithmetic number, because the mean of its divisors is an integer number (1324512).

Almost surely, 2^105219840 is an apocalyptic number.

105219840 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 105219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190729728).

105219840 is an abundant number, since it is smaller than the sum of its proper divisors (276239616).

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

105219840 is a wasteful number, since it uses less digits than its factorization.

105219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 105219840 is about 10257.6722505645. The cubic root of 105219840 is about 472.0984186227.

The spelling of 105219840 in words is "one hundred five million, two hundred nineteen thousand, eight hundred forty".