105050417840 has 40 divisors (see below), whose sum is σ = 257097078960. Its totient is φ = 39808578816.

The previous prime is 105050417837. The next prime is 105050417881. The reversal of 105050417840 is 48714050501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105050417840² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105050417840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34554539 + ... + 34557578.

It is an arithmetic number, because the mean of its divisors is an integer number (6427426974).

Almost surely, 2^105050417840 is an apocalyptic number.

105050417840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105050417840 is an abundant number, since it is smaller than the sum of its proper divisors (152046661120).

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

105050417840 is a wasteful number, since it uses less digits than its factorization.

105050417840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69112149 (or 69112143 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 105050417840 in words is "one hundred five billion, fifty million, four hundred seventeen thousand, eight hundred forty".