105053155453440 has 960 divisors, whose sum is σ = 381308546691072. Its totient is φ = 26697085747200.

The previous prime is 105053155453439. The next prime is 105053155453451. The reversal of 105053155453440 is 44354551350501.

It is a happy number.

105053155453440 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 3 + 1 + 554 + 53 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105053155453440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 45934915977 + ... + 45934918263.

Almost surely, 2^{105053155453440} is an apocalyptic number.

105053155453440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105053155453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654273345536).

105053155453440 is an abundant number, since it is smaller than the sum of its proper divisors (276255391237632).

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

105053155453440 is a wasteful number, since it uses less digits than its factorization.

105053155453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 105053155453440 in words is "one hundred five trillion, fifty-three billion, one hundred fifty-five million, four hundred fifty-three thousand, four hundred forty".