105414533130 has 48 divisors (see below), whose sum is σ = 268752368160. Its totient is φ = 26456978688.

The previous prime is 105414533117. The next prime is 105414533131. The reversal of 105414533130 is 31335414501.

It is a super-2 number, since 2×105414533130² (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 not an unprimeable number, because it can be changed into a prime (105414533131) 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, 6070600 + ... + 6087939.

It is an arithmetic number, because the mean of its divisors is an integer number (5599007670).

Almost surely, 2^105414533130 is an apocalyptic number.

105414533130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105414533130 is an abundant number, since it is smaller than the sum of its proper divisors (163337835030).

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

105414533130 is a wasteful number, since it uses less digits than its factorization.

105414533130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158583 (or 12158566 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105414533130 its reverse (31335414501), we get a palindrome (136749947631).

The spelling of 105414533130 in words is "one hundred five billion, four hundred fourteen million, five hundred thirty-three thousand, one hundred thirty".