105453215145520 has 40 divisors (see below), whose sum is σ = 267467700234960. Its totient is φ = 38346623688960.

The previous prime is 105453215145517. The next prime is 105453215145557. The reversal of 105453215145520 is 25541512354501.

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

It is a super-2 number, since 2×105453215145520² (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 (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59916598635 + ... + 59916600394.

It is an arithmetic number, because the mean of its divisors is an integer number (6686692505874).

Almost surely, 2^{105453215145520} is an apocalyptic number.

105453215145520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105453215145520 is an abundant number, since it is smaller than the sum of its proper divisors (162014485089440).

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

105453215145520 is a wasteful number, since it uses less digits than its factorization.

105453215145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119833199053 (or 119833199047 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 43.

The spelling of 105453215145520 in words is "one hundred five trillion, four hundred fifty-three billion, two hundred fifteen million, one hundred forty-five thousand, five hundred twenty".