105010506 has 24 divisors (see below), whose sum is σ = 235950624. Its totient is φ = 35003340.

The previous prime is 105010489. The next prime is 105010519. The reversal of 105010506 is 605010501.

It is a super-2 number, since 2×105010506² = 22054412740752072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 107550 + ... + 108521.

It is an arithmetic number, because the mean of its divisors is an integer number (9831276).

Almost surely, 2^105010506 is an apocalyptic number.

105010506 is an abundant number, since it is smaller than the sum of its proper divisors (130940118).

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

105010506 is an equidigital number, since it uses as much as digits as its factorization.

105010506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216088 (or 216076 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105010506 is about 10247.4633934452. The cubic root of 105010506 is about 471.7851321396.

The spelling of 105010506 in words is "one hundred five million, ten thousand, five hundred six".