105025355430 has 48 divisors (see below), whose sum is σ = 256405736304. Its totient is φ = 27532043200.

The previous prime is 105025355429. The next prime is 105025355437. The reversal of 105025355430 is 34553520501.

It is a happy number.

It is a super-2 number, since 2×105025355430² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105025355391 and 105025355400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105025355437) 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, 398421 + ... + 607280.

It is an arithmetic number, because the mean of its divisors is an integer number (5341786173).

Almost surely, 2^105025355430 is an apocalyptic number.

105025355430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105025355430 is an abundant number, since it is smaller than the sum of its proper divisors (151380380874).

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

105025355430 is a wasteful number, since it uses less digits than its factorization.

105025355430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005829 (or 1005770 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

Adding to 105025355430 its reverse (34553520501), we get a palindrome (139578875931).

The spelling of 105025355430 in words is "one hundred five billion, twenty-five million, three hundred fifty-five thousand, four hundred thirty".