105351363 has 24 divisors (see below), whose sum is σ = 173523168. Its totient is φ = 61016832.

The previous prime is 105351359. The next prime is 105351377. The reversal of 105351363 is 363153501.

It is not a de Polignac number, because 105351363 - 2² = 105351359 is a prime.

It is a super-2 number, since 2×105351363² = 22197819371915538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105351313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24495 + ... + 28472.

It is an arithmetic number, because the mean of its divisors is an integer number (7230132).

Almost surely, 2^105351363 is an apocalyptic number.

105351363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105351363 is a deficient number, since it is larger than the sum of its proper divisors (68171805).

105351363 is a wasteful number, since it uses less digits than its factorization.

105351363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53003 (or 53000 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 105351363 is about 10264.0812058362. The cubic root of 105351363 is about 472.2950417027.

The spelling of 105351363 in words is "one hundred five million, three hundred fifty-one thousand, three hundred sixty-three".