105414513024 has 32 divisors (see below), whose sum is σ = 280007301240. Its totient is φ = 35138170880.

The previous prime is 105414512993. The next prime is 105414513037. The reversal of 105414513024 is 420315414501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105414513024² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105414512982 and 105414513000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137258097 + ... + 137258864.

Almost surely, 2^105414513024 is an apocalyptic number.

It is an amenable number.

105414513024 is an abundant number, since it is smaller than the sum of its proper divisors (174592788216).

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

105414513024 is an equidigital number, since it uses as much as digits as its factorization.

105414513024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274516978 (or 274516966 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 105414513024 its reverse (420315414501), we get a palindrome (525729927525).

The spelling of 105414513024 in words is "one hundred five billion, four hundred fourteen million, five hundred thirteen thousand, twenty-four".