105840840 has 64 divisors (see below), whose sum is σ = 362885760. Its totient is φ = 24192000.

The previous prime is 105840821. The next prime is 105840859. The reversal of 105840840 is 48048501.

It is an interprime number because it is at equal distance from previous prime (105840821) and next prime (105840859).

It is a super-2 number, since 2×105840840² = 22404566823811200, 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 = 105840798 and 105840807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62161 + ... + 63840.

It is an arithmetic number, because the mean of its divisors is an integer number (5670090).

Almost surely, 2^105840840 is an apocalyptic number.

105840840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105840840 is an abundant number, since it is smaller than the sum of its proper divisors (257044920).

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

105840840 is a wasteful number, since it uses less digits than its factorization.

105840840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126022 (or 126018 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 105840840 is about 10287.8977444374. The cubic root of 105840840 is about 473.0253611695.

The spelling of 105840840 in words is "one hundred five million, eight hundred forty thousand, eight hundred forty".