105406545120450 has 144 divisors (see below), whose sum is σ = 304649221809024. Its totient is φ = 24048389635200.

The previous prime is 105406545120439. The next prime is 105406545120451. The reversal of 105406545120450 is 54021545604501.

It is a happy number.

It is a super-2 number, since 2×105406545120450² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105406545120451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9277834 + ... + 17230533.

It is an arithmetic number, because the mean of its divisors is an integer number (2115619595896).

Almost surely, 2^{105406545120450} is an apocalyptic number.

105406545120450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105406545120450 is an abundant number, since it is smaller than the sum of its proper divisors (199242676688574).

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

105406545120450 is a wasteful number, since it uses less digits than its factorization.

105406545120450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26508937 (or 26508925 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 105406545120450 in words is "one hundred five trillion, four hundred six billion, five hundred forty-five million, one hundred twenty thousand, four hundred fifty".