105002010 has 48 divisors (see below), whose sum is σ = 278168904. Its totient is φ = 27470976.

The previous prime is 105001951. The next prime is 105002033. The reversal of 105002010 is 10200501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98545329 + 6456681 = 9927^2 + 2541^2 .

It is a super-2 number, since 2×105002010² = 22050844208080200, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105001983 and 105002001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6237 + ... + 15776.

Almost surely, 2^105002010 is an apocalyptic number.

105002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105002010 is an abundant number, since it is smaller than the sum of its proper divisors (173166894).

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

105002010 is a wasteful number, since it uses less digits than its factorization.

105002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22079 (or 22076 counting only the distinct ones).

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

The square root of 105002010 is about 10247.0488434476. The cubic root of 105002010 is about 471.7724083505.

Adding to 105002010 its reverse (10200501), we get a palindrome (115202511).

The spelling of 105002010 in words is "one hundred five million, two thousand, ten".