105245730 has 56 divisors (see below), whose sum is σ = 284053212. Its totient is φ = 28063584.

The previous prime is 105245717. The next prime is 105245741. The reversal of 105245730 is 37542501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104714289 + 531441 = 10233^2 + 729^2 .

It is a super-2 number, since 2×105245730² = 22153327366465800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105245694 and 105245703.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 72 + ... + 14508.

Almost surely, 2^105245730 is an apocalyptic number.

105245730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105245730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142026606).

105245730 is an abundant number, since it is smaller than the sum of its proper divisors (178807482).

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

105245730 is an equidigital number, since it uses as much as digits as its factorization.

105245730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14462 (or 14447 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105245730 is about 10258.9341551645. The cubic root of 105245730 is about 472.1371363706.

The spelling of 105245730 in words is "one hundred five million, two hundred forty-five thousand, seven hundred thirty".