101064941568 has 280 divisors, whose sum is σ = 303726665088. Its totient is φ = 33488142336.

The previous prime is 101064941563. The next prime is 101064941573. The reversal of 101064941568 is 865149460101.

101064941568 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 49 + 41 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (101064941563) and next prime (101064941573).

It is not an unprimeable number, because it can be changed into a prime (101064941561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147971755 + ... + 147972437.

Almost surely, 2^101064941568 is an apocalyptic number.

101064941568 is a gapful number since it is divisible by the number (18) 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 101064941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151863332544).

101064941568 is an abundant number, since it is smaller than the sum of its proper divisors (202661723520).

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

101064941568 is an frugal number, since it uses more digits than its factorization.

101064941568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101064941568 in words is "one hundred one billion, sixty-four million, nine hundred forty-one thousand, five hundred sixty-eight".