105200520460000 has 480 divisors, whose sum is σ = 300267219732480. Its totient is φ = 35523214848000.

The previous prime is 105200520459971. The next prime is 105200520460037. The reversal of 105200520460000 is 64025002501.

It is a super-2 number, since 2×105200520460000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7429932921 + ... + 7429947079.

It is an arithmetic number, because the mean of its divisors is an integer number (625556707776).

Almost surely, 2^{105200520460000} is an apocalyptic number.

105200520460000 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 105200520460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150133609866240).

105200520460000 is an abundant number, since it is smaller than the sum of its proper divisors (195066699272480).

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

105200520460000 is an equidigital number, since it uses as much as digits as its factorization.

105200520460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14996 (or 14973 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105200520460000 its reverse (64025002501), we get a palindrome (105264545462501).

The spelling of 105200520460000 in words is "one hundred five trillion, two hundred billion, five hundred twenty million, four hundred sixty thousand".