105076775200 has 72 divisors (see below), whose sum is σ = 256853755620. Its totient is φ = 41975808000.

The previous prime is 105076775173. The next prime is 105076775201. The reversal of 105076775200 is 2577670501.

It can be written as a sum of positive squares in 6 ways, for example, as 47459493904 + 57617281296 = 217852^2 + 240036^2 .

It is a super-2 number, since 2×105076775200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (105076775201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529800 + ... + 700600.

Almost surely, 2^105076775200 is an apocalyptic number.

105076775200 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 105076775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128426877810).

105076775200 is an abundant number, since it is smaller than the sum of its proper divisors (151776980420).

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

105076775200 is a wasteful number, since it uses less digits than its factorization.

105076775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171590 (or 171577 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 40.

The spelling of 105076775200 in words is "one hundred five billion, seventy-six million, seven hundred seventy-five thousand, two hundred".