106264916288 has 112 divisors (see below), whose sum is σ = 216679881600. Its totient is φ = 51691284480.

The previous prime is 106264916279. The next prime is 106264916299. The reversal of 106264916288 is 882619462601.

It is a Cunningham number, because it is equal to 325983²-1.

It is a super-2 number, since 2×106264916288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253615343 + ... + 253615761.

It is an arithmetic number, because the mean of its divisors is an integer number (1934641800).

Almost surely, 2^106264916288 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 106264916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108339940800).

106264916288 is an abundant number, since it is smaller than the sum of its proper divisors (110414965312).

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

106264916288 is a wasteful number, since it uses less digits than its factorization.

106264916288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The spelling of 106264916288 in words is "one hundred six billion, two hundred sixty-four million, nine hundred sixteen thousand, two hundred eighty-eight".