105500545440 has 48 divisors (see below), whose sum is σ = 332326719648. Its totient is φ = 28133478656.

The previous prime is 105500545439. The next prime is 105500545457. The reversal of 105500545440 is 44545005501.

105500545440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105500545440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109895922 + ... + 109896881.

It is an arithmetic number, because the mean of its divisors is an integer number (6923473326).

Almost surely, 2^105500545440 is an apocalyptic number.

105500545440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105500545440 is an abundant number, since it is smaller than the sum of its proper divisors (226826174208).

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

105500545440 is a wasteful number, since it uses less digits than its factorization.

105500545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219792821 (or 219792813 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

The spelling of 105500545440 in words is "one hundred five billion, five hundred million, five hundred forty-five thousand, four hundred forty".