105235513200 has 480 divisors, whose sum is σ = 389195774400. Its totient is φ = 26975047680.

The previous prime is 105235513193. The next prime is 105235513247. The reversal of 105235513200 is 2315532501.

It is a happy number.

105235513200 is a `hidden beast` number, since 1 + 0 + 523 + 5 + 5 + 132 + 0 + 0 = 666.

It is a super-2 number, since 2×105235513200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86755794 + ... + 86757006.

It is an arithmetic number, because the mean of its divisors is an integer number (810824530).

Almost surely, 2^105235513200 is an apocalyptic number.

105235513200 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 105235513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194597887200).

105235513200 is an abundant number, since it is smaller than the sum of its proper divisors (283960261200).

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

105235513200 is a wasteful number, since it uses less digits than its factorization.

105235513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 105235513200 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred".