105440005664 has 96 divisors (see below), whose sum is σ = 240464609280. Its totient is φ = 44575435008.

The previous prime is 105440005661. The next prime is 105440005667. The reversal of 105440005664 is 466500044501.

It is an interprime number because it is at equal distance from previous prime (105440005661) and next prime (105440005667).

It is a super-2 number, since 2×105440005664² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105440005661) 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, 26311949 + ... + 26315955.

It is an arithmetic number, because the mean of its divisors is an integer number (2504839680).

Almost surely, 2^105440005664 is an apocalyptic number.

105440005664 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 105440005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120232304640).

105440005664 is an abundant number, since it is smaller than the sum of its proper divisors (135024603616).

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

105440005664 is a wasteful number, since it uses less digits than its factorization.

105440005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 105440005664 in words is "one hundred five billion, four hundred forty million, five thousand, six hundred sixty-four".