105252000000 has 756 divisors, whose sum is σ = 409593194640. Its totient is φ = 23923200000.

The previous prime is 105251999971. The next prime is 105252000001. The reversal of 105252000000 is 252501.

It is a super-2 number, since 2×105252000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105252000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 587999911 + ... + 588000089.

It is an arithmetic number, because the mean of its divisors is an integer number (541789940).

Almost surely, 2^105252000000 is an apocalyptic number.

105252000000 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 105252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204796597320).

105252000000 is an abundant number, since it is smaller than the sum of its proper divisors (304341194640).

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

105252000000 is an frugal number, since it uses more digits than its factorization.

105252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

Adding to 105252000000 its reverse (252501), we get a palindrome (105252252501).

The spelling of 105252000000 in words is "one hundred five billion, two hundred fifty-two million", and thus it is an aban number.