105540050514440 has 64 divisors (see below), whose sum is σ = 250267740984000. Its totient is φ = 39945410254080.

The previous prime is 105540050514439. The next prime is 105540050514491. The reversal of 105540050514440 is 44415050045501.

It is a super-2 number, since 2×105540050514440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 105540050514394 and 105540050514403.

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, 83948810 + ... + 85196729.

It is an arithmetic number, because the mean of its divisors is an integer number (3910433452875).

Almost surely, 2^{105540050514440} is an apocalyptic number.

105540050514440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105540050514440 is an abundant number, since it is smaller than the sum of its proper divisors (144727690469560).

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

105540050514440 is a wasteful number, since it uses less digits than its factorization.

105540050514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169146390 (or 169146386 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 38.

The spelling of 105540050514440 in words is "one hundred five trillion, five hundred forty billion, fifty million, five hundred fourteen thousand, four hundred forty".