105401525200 has 120 divisors (see below), whose sum is σ = 264335581440. Its totient is φ = 40341734400.

The previous prime is 105401525197. The next prime is 105401525209. The reversal of 105401525200 is 2525104501.

It is a super-2 number, since 2×105401525200² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (105401525209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055847 + ... + 1151353.

It is an arithmetic number, because the mean of its divisors is an integer number (2202796512).

Almost surely, 2^105401525200 is an apocalyptic number.

105401525200 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 105401525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132167790720).

105401525200 is an abundant number, since it is smaller than the sum of its proper divisors (158934056240).

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

105401525200 is a wasteful number, since it uses less digits than its factorization.

105401525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95645 (or 95634 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 105401525200 its reverse (2525104501), we get a palindrome (107926629701).

The spelling of 105401525200 in words is "one hundred five billion, four hundred one million, five hundred twenty-five thousand, two hundred".