105513353040 has 80 divisors (see below), whose sum is σ = 327247911936. Its totient is φ = 28123430400.

The previous prime is 105513353009. The next prime is 105513353053. The reversal of 105513353040 is 40353315501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105513353040² (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 junction number, because it is equal to n+sod(n) for n = 105513352989 and 105513353007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402510 + ... + 610770.

Almost surely, 2^105513353040 is an apocalyptic number.

105513353040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513353040 is an abundant number, since it is smaller than the sum of its proper divisors (221734558896).

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

105513353040 is a wasteful number, since it uses less digits than its factorization.

105513353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210388 (or 210382 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 105513353040 its reverse (40353315501), we get a palindrome (145866668541).

The spelling of 105513353040 in words is "one hundred five billion, five hundred thirteen million, three hundred fifty-three thousand, forty".