105513513440 has 24 divisors (see below), whose sum is σ = 249275675880. Its totient is φ = 42205405312.

The previous prime is 105513513397. The next prime is 105513513463. The reversal of 105513513440 is 44315315501.

It is a super-2 number, since 2×105513513440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 105513513397 and 105513513406.

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, 329729570 + ... + 329729889.

It is an arithmetic number, because the mean of its divisors is an integer number (10386486495).

Almost surely, 2^105513513440 is an apocalyptic number.

105513513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513513440 is an abundant number, since it is smaller than the sum of its proper divisors (143762162440).

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

105513513440 is an equidigital number, since it uses as much as digits as its factorization.

105513513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659459474 (or 659459466 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 105513513440 its reverse (44315315501), we get a palindrome (149828828941).

The spelling of 105513513440 in words is "one hundred five billion, five hundred thirteen million, five hundred thirteen thousand, four hundred forty".