105763141 has 8 divisors (see below), whose sum is σ = 116400384. Its totient is φ = 95296320.

The previous prime is 105763129. The next prime is 105763153. The reversal of 105763141 is 141367501.

It is an interprime number because it is at equal distance from previous prime (105763129) and next prime (105763153).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105763141 is a prime.

It is a super-2 number, since 2×105763141² = 22371683988371762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105763121) 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 7 ways as a sum of consecutive naturals, for example, 41301 + ... + 43786.

It is an arithmetic number, because the mean of its divisors is an integer number (14550048).

Almost surely, 2^105763141 is an apocalyptic number.

105763141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105763141 is a deficient number, since it is larger than the sum of its proper divisors (10637243).

105763141 is a wasteful number, since it uses less digits than its factorization.

105763141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85211.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105763141 is about 10284.1208180379. The cubic root of 105763141 is about 472.9095816810.

The spelling of 105763141 in words is "one hundred five million, seven hundred sixty-three thousand, one hundred forty-one".