105315840 has 240 divisors, whose sum is σ = 417482208. Its totient is φ = 24035328.

The previous prime is 105315817. The next prime is 105315853. The reversal of 105315840 is 48513501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105315840² = 22182852309811200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160954 + ... + 161606.

Almost surely, 2^105315840 is an apocalyptic number.

105315840 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 105315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208741104).

105315840 is an abundant number, since it is smaller than the sum of its proper divisors (312166368).

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

105315840 is an equidigital number, since it uses as much as digits as its factorization.

105315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105315840 is about 10262.3506079260. The cubic root of 105315840 is about 472.2419519836.

The spelling of 105315840 in words is "one hundred five million, three hundred fifteen thousand, eight hundred forty".