105041155201440 has 96 divisors (see below), whose sum is σ = 331394227166016. Its totient is φ = 27967411691520.

The previous prime is 105041155201397. The next prime is 105041155201453. The reversal of 105041155201440 is 44102551140501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105041155201440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 169859121 + ... + 170476400.

It is an arithmetic number, because the mean of its divisors is an integer number (3452023199646).

Almost surely, 2^{105041155201440} is an apocalyptic number.

105041155201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105041155201440 is an abundant number, since it is smaller than the sum of its proper divisors (226353071964576).

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

105041155201440 is a wasteful number, since it uses less digits than its factorization.

105041155201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340336182 (or 340336174 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 105041155201440 in words is "one hundred five trillion, forty-one billion, one hundred fifty-five million, two hundred one thousand, four hundred forty".