105696240 has 160 divisors (see below), whose sum is σ = 371642880. Its totient is φ = 24634368.

The previous prime is 105696229. The next prime is 105696251. The reversal of 105696240 is 42696501.

It is an interprime number because it is at equal distance from previous prime (105696229) and next prime (105696251).

It is a super-2 number, since 2×105696240² = 22343390300275200, 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 31 ways as a sum of consecutive naturals, for example, 58389 + ... + 60171.

It is an arithmetic number, because the mean of its divisors is an integer number (2322768).

Almost surely, 2^105696240 is an apocalyptic number.

105696240 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 105696240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185821440).

105696240 is an abundant number, since it is smaller than the sum of its proper divisors (265946640).

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

105696240 is a wasteful number, since it uses less digits than its factorization.

105696240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 105696240 is about 10280.8676676631. The cubic root of 105696240 is about 472.8098468808.

The spelling of 105696240 in words is "one hundred five million, six hundred ninety-six thousand, two hundred forty".