105250197312 has 280 divisors, whose sum is σ = 337429323616. Its totient is φ = 32379637248.

The previous prime is 105250197307. The next prime is 105250197313. The reversal of 105250197312 is 213791052501.

105250197312 is a `hidden beast` number, since 1 + 0 + 5 + 250 + 1 + 97 + 312 = 666.

It is a super-2 number, since 2×105250197312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105250197313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16373043 + ... + 16379469.

Almost surely, 2^105250197312 is an apocalyptic number.

105250197312 is a gapful number since it is divisible by the number (12) 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 105250197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168714661808).

105250197312 is an abundant number, since it is smaller than the sum of its proper divisors (232179126304).

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

105250197312 is an frugal number, since it uses more digits than its factorization.

105250197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 105250197312 in words is "one hundred five billion, two hundred fifty million, one hundred ninety-seven thousand, three hundred twelve".