105323766353 has 8 divisors (see below), whose sum is σ = 115838905728. Its totient is φ = 95153385744.

The previous prime is 105323766329. The next prime is 105323766461. The reversal of 105323766353 is 353667323501.

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

It is a cyclic number.

It is not a de Polignac number, because 105323766353 - 2¹⁶ = 105323700817 is a prime.

It is a super-2 number, since 2×105323766353² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105323766253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86189051 + ... + 86190272.

It is an arithmetic number, because the mean of its divisors is an integer number (14479863216).

Almost surely, 2^105323766353 is an apocalyptic number.

105323766353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105323766353 is a deficient number, since it is larger than the sum of its proper divisors (10515139375).

105323766353 is a wasteful number, since it uses less digits than its factorization.

105323766353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172379383.

The product of its (nonzero) digits is 1020600, while the sum is 44.

The spelling of 105323766353 in words is "one hundred five billion, three hundred twenty-three million, seven hundred sixty-six thousand, three hundred fifty-three".