105245042430 has 128 divisors (see below), whose sum is σ = 291471436800. Its totient is φ = 24070210560.

The previous prime is 105245042417. The next prime is 105245042437. The reversal of 105245042430 is 34240542501.

It is a super-2 number, since 2×105245042430² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245042437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459096 + ... + 649044.

It is an arithmetic number, because the mean of its divisors is an integer number (2277120600).

Almost surely, 2^105245042430 is an apocalyptic number.

105245042430 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 105245042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145735718400).

105245042430 is an abundant number, since it is smaller than the sum of its proper divisors (186226394370).

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

105245042430 is a wasteful number, since it uses less digits than its factorization.

105245042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190066.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 105245042430 its reverse (34240542501), we get a palindrome (139485584931).

The spelling of 105245042430 in words is "one hundred five billion, two hundred forty-five million, forty-two thousand, four hundred thirty".