105100002 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 28943712.

The previous prime is 105099997. The next prime is 105100043. The reversal of 105100002 is 200001501.

It is a happy number.

It is a super-2 number, since 2×105100002² = 22092020840800008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178753 + ... + 179339.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^105100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

105100002 is an abundant number, since it is smaller than the sum of its proper divisors (170083998).

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

105100002 is a wasteful number, since it uses less digits than its factorization.

105100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105100002 is about 10251.8292026350. The cubic root of 105100002 is about 471.9191215677.

Adding to 105100002 its reverse (200001501), we get a palindrome (305101503).

The spelling of 105100002 in words is "one hundred five million, one hundred thousand, two".