105141150464 has 144 divisors (see below), whose sum is σ = 256390202880. Its totient is φ = 42049413120.

The previous prime is 105141150463. The next prime is 105141150473. The reversal of 105141150464 is 464051141501.

It is a super-2 number, since 2×105141150464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 105141150464.

It is not an unprimeable number, because it can be changed into a prime (105141150463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658747 + ... + 1720965.

It is an arithmetic number, because the mean of its divisors is an integer number (1780487520).

Almost surely, 2^105141150464 is an apocalyptic number.

105141150464 is a gapful number since it is divisible by the number (14) 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 105141150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128195101440).

105141150464 is an abundant number, since it is smaller than the sum of its proper divisors (151249052416).

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

105141150464 is an equidigital number, since it uses as much as digits as its factorization.

105141150464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62306 (or 62292 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 105141150464 its reverse (464051141501), we get a palindrome (569192291965).

The spelling of 105141150464 in words is "one hundred five billion, one hundred forty-one million, one hundred fifty thousand, four hundred sixty-four".