105053061343230 has 1536 divisors, whose sum is σ = 375379577524224. Its totient is φ = 19682611200000.

The previous prime is 105053061343211. The next prime is 105053061343259. The reversal of 105053061343230 is 32343160350501.

105053061343230 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 3 + 0 + 613 + 4 + 3 + 2 + 30 = 666.

It is a super-2 number, since 2×105053061343230² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 373854310690 + ... + 373854310970.

It is an arithmetic number, because the mean of its divisors is an integer number (244387745784).

Almost surely, 2^{105053061343230} is an apocalyptic number.

105053061343230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105053061343230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689788762112).

105053061343230 is an abundant number, since it is smaller than the sum of its proper divisors (270326516180994).

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

105053061343230 is a wasteful number, since it uses less digits than its factorization.

105053061343230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 105053061343230 in words is "one hundred five trillion, fifty-three billion, sixty-one million, three hundred forty-three thousand, two hundred thirty".