105245160 has 32 divisors (see below), whose sum is σ = 315735840. Its totient is φ = 28065344.

The previous prime is 105245159. The next prime is 105245167. The reversal of 105245160 is 61542501.

It is a super-2 number, since 2×105245160² = 22153087406851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105245160.

It is not an unprimeable number, because it can be changed into a prime (105245167) 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, 438402 + ... + 438641.

It is an arithmetic number, because the mean of its divisors is an integer number (9866745).

Almost surely, 2^105245160 is an apocalyptic number.

105245160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105245160 is an abundant number, since it is smaller than the sum of its proper divisors (210490680).

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

105245160 is a wasteful number, since it uses less digits than its factorization.

105245160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877057 (or 877053 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105245160 is about 10258.9063744631. The cubic root of 105245160 is about 472.1362840204.

Adding to 105245160 its reverse (61542501), we get a palindrome (166787661).

The spelling of 105245160 in words is "one hundred five million, two hundred forty-five thousand, one hundred sixty".