106005210 has 32 divisors (see below), whose sum is σ = 259828992. Its totient is φ = 27666240.

The previous prime is 106005209. The next prime is 106005227. The reversal of 106005210 is 12500601.

It is a super-2 number, since 2×106005210² = 22474209094288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106005210.

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, 36181 + ... + 39000.

It is an arithmetic number, because the mean of its divisors is an integer number (8119656).

Almost surely, 2^106005210 is an apocalyptic number.

106005210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106005210 is an abundant number, since it is smaller than the sum of its proper divisors (153823782).

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

106005210 is a wasteful number, since it uses less digits than its factorization.

106005210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75238.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 106005210 is about 10295.8831578452. The cubic root of 106005210 is about 473.2701027529.

Adding to 106005210 its reverse (12500601), we get a palindrome (118505811).

The spelling of 106005210 in words is "one hundred six million, five thousand, two hundred ten".