105366151 has 16 divisors (see below), whose sum is σ = 122508288. Its totient is φ = 89663200.

The previous prime is 105366137. The next prime is 105366161. The reversal of 105366151 is 151663501.

It is a de Polignac number, because none of the positive numbers 2^k-105366151 is a prime.

It is a super-3 number, since 3×105366151³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105366101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7461 + ... + 16321.

It is an arithmetic number, because the mean of its divisors is an integer number (7656768).

Almost surely, 2^105366151 is an apocalyptic number.

105366151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105366151 is a deficient number, since it is larger than the sum of its proper divisors (17142137).

105366151 is a wasteful number, since it uses less digits than its factorization.

105366151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 105366151 is about 10264.8015567764. The cubic root of 105366151 is about 472.3171390985.

The spelling of 105366151 in words is "one hundred five million, three hundred sixty-six thousand, one hundred fifty-one".