105105351 has 32 divisors (see below), whose sum is σ = 154586880. Its totient is φ = 63131904.

The previous prime is 105105337. The next prime is 105105389. The reversal of 105105351 is 153501501.

It is not a de Polignac number, because 105105351 - 2¹⁰ = 105104327 is a prime.

It is a super-3 number, since 3×105105351³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371256 + ... + 371538.

It is an arithmetic number, because the mean of its divisors is an integer number (4830840).

Almost surely, 2^105105351 is an apocalyptic number.

105105351 is a deficient number, since it is larger than the sum of its proper divisors (49481529).

105105351 is a wasteful number, since it uses less digits than its factorization.

105105351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 105105351 is about 10252.0900795886. The cubic root of 105105351 is about 471.9271274431.

Adding to 105105351 its reverse (153501501), we get a palindrome (258606852).

The spelling of 105105351 in words is "one hundred five million, one hundred five thousand, three hundred fifty-one".