105006010 has 32 divisors (see below), whose sum is σ = 194630400. Its totient is φ = 40772160.

The previous prime is 105006007. The next prime is 105006023. The reversal of 105006010 is 10600501.

It is a super-2 number, since 2×105006010² = 22052524272240200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47101 + ... + 49279.

It is an arithmetic number, because the mean of its divisors is an integer number (6082200).

Almost surely, 2^105006010 is an apocalyptic number.

105006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105006010 is a deficient number, since it is larger than the sum of its proper divisors (89624390).

105006010 is a wasteful number, since it uses less digits than its factorization.

105006010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105006010 is about 10247.2440197353. The cubic root of 105006010 is about 471.7783989205.

Adding to 105006010 its reverse (10600501), we get a palindrome (115606511).

The spelling of 105006010 in words is "one hundred five million, six thousand, ten".