105351213 has 16 divisors (see below), whose sum is σ = 153533952. Its totient is φ = 63726000.

The previous prime is 105351203. The next prime is 105351241. The reversal of 105351213 is 312153501.

It is not a de Polignac number, because 105351213 - 2¹² = 105347117 is a prime.

It is a super-2 number, since 2×105351213² = 22197756161142738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105351213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105351203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16048 + ... + 21638.

It is an arithmetic number, because the mean of its divisors is an integer number (9595872).

Almost surely, 2^105351213 is an apocalyptic number.

It is an amenable number.

105351213 is a deficient number, since it is larger than the sum of its proper divisors (48182739).

105351213 is a wasteful number, since it uses less digits than its factorization.

105351213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105351213 is about 10264.0738987987. The cubic root of 105351213 is about 472.2948175503.

The spelling of 105351213 in words is "one hundred five million, three hundred fifty-one thousand, two hundred thirteen".