105042088466040 has 64 divisors (see below), whose sum is σ = 343774107711360. Its totient is φ = 25464748718720.

The previous prime is 105042088465877. The next prime is 105042088466041. The reversal of 105042088466040 is 40664880240501.

It is a super-2 number, since 2×105042088466040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105042088466041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39788668554 + ... + 39788671193.

It is an arithmetic number, because the mean of its divisors is an integer number (5371470432990).

Almost surely, 2^{105042088466040} is an apocalyptic number.

105042088466040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105042088466040 is an abundant number, since it is smaller than the sum of its proper divisors (238732019245320).

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

105042088466040 is a wasteful number, since it uses less digits than its factorization.

105042088466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79577339772 (or 79577339768 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 105042088466040 in words is "one hundred five trillion, forty-two billion, eighty-eight million, four hundred sixty-six thousand, forty".