106010510064 has 80 divisors (see below), whose sum is σ = 277955281152. Its totient is φ = 34809675264.

The previous prime is 106010510033. The next prime is 106010510071. The reversal of 106010510064 is 460015010601.

It is a super-2 number, since 2×106010510064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2879517 + ... + 2916099.

Almost surely, 2^106010510064 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 106010510064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138977640576).

106010510064 is an abundant number, since it is smaller than the sum of its proper divisors (171944771088).

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

106010510064 is a wasteful number, since it uses less digits than its factorization.

106010510064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37494 (or 37488 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 106010510064 its reverse (460015010601), we get a palindrome (566025520665).

The spelling of 106010510064 in words is "one hundred six billion, ten million, five hundred ten thousand, sixty-four".