105150312000 has 280 divisors, whose sum is σ = 389002082040. Its totient is φ = 28039910400.

The previous prime is 105150311989. The next prime is 105150312017. The reversal of 105150312000 is 213051501.

It can be written as a sum of positive squares in 4 ways, for example, as 20077756416 + 85072555584 = 141696^2 + 291672^2 .

It is a super-2 number, since 2×105150312000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566866 + ... + 729134.

Almost surely, 2^105150312000 is an apocalyptic number.

105150312000 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 105150312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194501041020).

105150312000 is an abundant number, since it is smaller than the sum of its proper divisors (283851770040).

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

105150312000 is an equidigital number, since it uses as much as digits as its factorization.

105150312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162308 (or 162279 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 105150312000 its reverse (213051501), we get a palindrome (105363363501).

The spelling of 105150312000 in words is "one hundred five billion, one hundred fifty million, three hundred twelve thousand".