105104430 has 48 divisors (see below), whose sum is σ = 274116960. Its totient is φ = 27941184.

The previous prime is 105104423. The next prime is 105104431. The reversal of 105104430 is 34401501.

It is a happy number.

It is a super-2 number, since 2×105104430² = 22093882411249800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105104431) 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, 30684 + ... + 33936.

It is an arithmetic number, because the mean of its divisors is an integer number (5710770).

Almost surely, 2^105104430 is an apocalyptic number.

105104430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105104430 is an abundant number, since it is smaller than the sum of its proper divisors (169012530).

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

105104430 is a wasteful number, since it uses less digits than its factorization.

105104430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105104430 is about 10252.0451618202. The cubic root of 105104430 is about 471.9257489971.

Adding to 105104430 its reverse (34401501), we get a palindrome (139505931).

The spelling of 105104430 in words is "one hundred five million, one hundred four thousand, four hundred thirty".