105915240 has 96 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 28103040.

The previous prime is 105915217. The next prime is 105915263. The reversal of 105915240 is 42519501.

It is an interprime number because it is at equal distance from previous prime (105915217) and next prime (105915263).

It is a super-2 number, since 2×105915240² = 22436076128515200, which contains 22 as substring.

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, 85425 + ... + 86655.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2^105915240 is an apocalyptic number.

105915240 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 105915240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

105915240 is an abundant number, since it is smaller than the sum of its proper divisors (240030360).

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

105915240 is a wasteful number, since it uses less digits than its factorization.

105915240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105915240 is about 10291.5130082996. The cubic root of 105915240 is about 473.1361717157.

The spelling of 105915240 in words is "one hundred five million, nine hundred fifteen thousand, two hundred forty".