105141619968 has 864 divisors, whose sum is σ = 379983851520. Its totient is φ = 25181798400.

The previous prime is 105141619967. The next prime is 105141620021. The reversal of 105141619968 is 869916141501.

It is a super-2 number, since 2×105141619968² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105141619968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141619967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 580892838 + ... + 580893018.

Almost surely, 2^105141619968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105141619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189991925760).

105141619968 is an abundant number, since it is smaller than the sum of its proper divisors (274842231552).

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

105141619968 is a wasteful number, since it uses less digits than its factorization.

105141619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 105141619968 in words is "one hundred five billion, one hundred forty-one million, six hundred nineteen thousand, nine hundred sixty-eight".