105563430 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 22856256.

The previous prime is 105563429. The next prime is 105563431. The reversal of 105563430 is 34365501.

It is an interprime number because it is at equal distance from previous prime (105563429) and next prime (105563431).

It is a super-2 number, since 2×105563430² = 22287275506729800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105563394 and 105563403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105563431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7561 + ... + 16379.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^105563430 is an apocalyptic number.

105563430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105563430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

105563430 is an abundant number, since it is smaller than the sum of its proper divisors (224657370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105563430 is a wasteful number, since it uses less digits than its factorization.

105563430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8858 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105563430 is about 10274.4065522053. The cubic root of 105563430 is about 472.6117313665.

The spelling of 105563430 in words is "one hundred five million, five hundred sixty-three thousand, four hundred thirty".