105310002 has 64 divisors (see below), whose sum is σ = 258232320. Its totient is φ = 27945216.

The previous prime is 105309979. The next prime is 105310013. The reversal of 105310002 is 200013501.

It is a super-2 number, since 2×105310002² = 22180393042480008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105310002.

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, 55473 + ... + 57339.

It is an arithmetic number, because the mean of its divisors is an integer number (4034880).

Almost surely, 2^105310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129116160).

105310002 is an abundant number, since it is smaller than the sum of its proper divisors (152922318).

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

105310002 is a wasteful number, since it uses less digits than its factorization.

105310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105310002 is about 10262.0661662260. The cubic root of 105310002 is about 472.2332258525.

Adding to 105310002 its reverse (200013501), we get a palindrome (305323503).

The spelling of 105310002 in words is "one hundred five million, three hundred ten thousand, two".