105162240 has 80 divisors (see below), whose sum is σ = 336215088. Its totient is φ = 28041216.

The previous prime is 105162209. The next prime is 105162241. The reversal of 105162240 is 42261501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105162240² = 22118193443635200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105162241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 14526.

Almost surely, 2^105162240 is an apocalyptic number.

105162240 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 105162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168107544).

105162240 is an abundant number, since it is smaller than the sum of its proper divisors (231052848).

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

105162240 is an equidigital number, since it uses as much as digits as its factorization.

105162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13719 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105162240 is about 10254.8642116802. The cubic root of 105162240 is about 472.0122566960.

The spelling of 105162240 in words is "one hundred five million, one hundred sixty-two thousand, two hundred forty".