105513450022440 has 192 divisors, whose sum is σ = 354750792739200. Its totient is φ = 27166122579456.

The previous prime is 105513450022363. The next prime is 105513450022471. The reversal of 105513450022440 is 44220054315501.

105513450022440 is a `hidden beast` number, since 1 + 0 + 5 + 51 + 345 + 0 + 0 + 224 + 40 = 666.

It is a super-2 number, since 2×105513450022440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105513450022395 and 105513450022404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809316699 + ... + 809447061.

It is an arithmetic number, because the mean of its divisors is an integer number (1847660378850).

Almost surely, 2^{105513450022440} is an apocalyptic number.

105513450022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513450022440 is an abundant number, since it is smaller than the sum of its proper divisors (249237342716760).

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

105513450022440 is a wasteful number, since it uses less digits than its factorization.

105513450022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207936 (or 207929 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 105513450022440 in words is "one hundred five trillion, five hundred thirteen billion, four hundred fifty million, twenty-two thousand, four hundred forty".