105257220 has 24 divisors (see below), whose sum is σ = 294720384. Its totient is φ = 28068576.

The previous prime is 105257203. The next prime is 105257227. The reversal of 105257220 is 22752501.

It is a super-2 number, since 2×105257220² = 22158164724256800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105257227) 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, 877084 + ... + 877203.

It is an arithmetic number, because the mean of its divisors is an integer number (12280016).

Almost surely, 2^105257220 is an apocalyptic number.

105257220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105257220 is an abundant number, since it is smaller than the sum of its proper divisors (189463164).

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

105257220 is a wasteful number, since it uses less digits than its factorization.

105257220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754299 (or 1754297 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105257220 is about 10259.4941395763. The cubic root of 105257220 is about 472.1543172998.

The spelling of 105257220 in words is "one hundred five million, two hundred fifty-seven thousand, two hundred twenty".