105450021002430 has 48 divisors (see below), whose sum is σ = 295260058810080. Its totient is φ = 25956928246464.

The previous prime is 105450021002423. The next prime is 105450021002461. The reversal of 105450021002430 is 34200120054501.

105450021002430 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 500 + 2 + 100 + 24 + 30 = 666.

It is a super-2 number, since 2×105450021002430² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105450021002394 and 105450021002403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45064110370 + ... + 45064112709.

It is an arithmetic number, because the mean of its divisors is an integer number (6151251225210).

Almost surely, 2^{105450021002430} is an apocalyptic number.

105450021002430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105450021002430 is an abundant number, since it is smaller than the sum of its proper divisors (189810037807650).

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

105450021002430 is a wasteful number, since it uses less digits than its factorization.

105450021002430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90128223105 (or 90128223102 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105450021002430 its reverse (34200120054501), we get a palindrome (139650141056931).

The spelling of 105450021002430 in words is "one hundred five trillion, four hundred fifty billion, twenty-one million, two thousand, four hundred thirty".