105404420 has 48 divisors (see below), whose sum is σ = 255685248. Its totient is φ = 36072960.

The previous prime is 105404393. The next prime is 105404447. The reversal of 105404420 is 24404501.

It is an interprime number because it is at equal distance from previous prime (105404393) and next prime (105404447).

It is a super-2 number, since 2×105404420² = 22220183511072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105404392 and 105404401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10352 + ... + 17831.

It is an arithmetic number, because the mean of its divisors is an integer number (5326776).

Almost surely, 2^105404420 is an apocalyptic number.

105404420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105404420 is an abundant number, since it is smaller than the sum of its proper divisors (150280828).

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

105404420 is a wasteful number, since it uses less digits than its factorization.

105404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28220 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 105404420 is about 10266.6654761904. The cubic root of 105404420 is about 472.3743140596.

Adding to 105404420 its reverse (24404501), we get a palindrome (129808921).

The spelling of 105404420 in words is "one hundred five million, four hundred four thousand, four hundred twenty".