102010005 has 24 divisors (see below), whose sum is σ = 177067800. Its totient is φ = 54328320.

The previous prime is 102009983. The next prime is 102010033. The reversal of 102010005 is 500010201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34786404 + 67223601 = 5898^2 + 8199^2 .

It is not a de Polignac number, because 102010005 - 2⁸ = 102009749 is a prime.

It is a super-2 number, since 2×102010005² = 20812082240200050, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46125 + ... + 48285.

It is an arithmetic number, because the mean of its divisors is an integer number (7377825).

Almost surely, 2^102010005 is an apocalyptic number.

102010005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102010005 is a deficient number, since it is larger than the sum of its proper divisors (75057795).

102010005 is a wasteful number, since it uses less digits than its factorization.

102010005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3218 counting only the distinct ones).

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

The square root of 102010005 is about 10100.0002475247. Note that the first 3 decimals coincide. The cubic root of 102010005 is about 467.2481490187.

Adding to 102010005 its reverse (500010201), we get a palindrome (602020206).

It can be divided in two parts, 1020 and 10005, that added together give a square (11025 = 105²).

The spelling of 102010005 in words is "one hundred two million, ten thousand, five".