105257240 has 128 divisors (see below), whose sum is σ = 273326400. Its totient is φ = 36126720.

The previous prime is 105257233. The next prime is 105257263. The reversal of 105257240 is 42752501.

It is a super-2 number, since 2×105257240² = 22158173144835200, 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, 931424 + ... + 931536.

Almost surely, 2^105257240 is an apocalyptic number.

105257240 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 105257240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136663200).

105257240 is an abundant number, since it is smaller than the sum of its proper divisors (168069160).

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

105257240 is a wasteful number, since it uses less digits than its factorization.

105257240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 105257240 is about 10259.4951142832. The cubic root of 105257240 is about 472.1543472046.

The spelling of 105257240 in words is "one hundred five million, two hundred fifty-seven thousand, two hundred forty".