105852040 has 128 divisors (see below), whose sum is σ = 290822400. Its totient is φ = 33868800.

The previous prime is 105852031. The next prime is 105852053. The reversal of 105852040 is 40258501.

105852040 = 182² + 183² + ... + 686².

It is a super-2 number, since 2×105852040² = 22409308744323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105851996 and 105852014.

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, 537222 + ... + 537418.

It is an arithmetic number, because the mean of its divisors is an integer number (2272050).

Almost surely, 2^105852040 is an apocalyptic number.

105852040 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 105852040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411200).

105852040 is an abundant number, since it is smaller than the sum of its proper divisors (184970360).

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

105852040 is a wasteful number, since it uses less digits than its factorization.

105852040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 105852040 is about 10288.4420589320. The cubic root of 105852040 is about 473.0420456465.

The spelling of 105852040 in words is "one hundred five million, eight hundred fifty-two thousand, forty".