105320151 has 36 divisors (see below), whose sum is σ = 169058448. Its totient is φ = 62844672.

The previous prime is 105320119. The next prime is 105320177. The reversal of 105320151 is 151023501.

It is not a de Polignac number, because 105320151 - 2⁵ = 105320119 is a prime.

It is a super-2 number, since 2×105320151² = 22184668413325602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105320101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 608701 + ... + 608873.

It is an arithmetic number, because the mean of its divisors is an integer number (4696068).

Almost surely, 2^105320151 is an apocalyptic number.

105320151 is a deficient number, since it is larger than the sum of its proper divisors (63738297).

105320151 is a wasteful number, since it uses less digits than its factorization.

105320151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 216 counting only the distinct ones).

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

The square root of 105320151 is about 10262.5606453750. The cubic root of 105320151 is about 472.2483954818.

Adding to 105320151 its reverse (151023501), we get a palindrome (256343652).

The spelling of 105320151 in words is "one hundred five million, three hundred twenty thousand, one hundred fifty-one".