106664135760 has 960 divisors, whose sum is σ = 472727743488. Its totient is φ = 20933738496.

The previous prime is 106664135719. The next prime is 106664135791. The reversal of 106664135760 is 67531466601.

It is a super-2 number, since 2×106664135760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55756564 + ... + 55758476.

Almost surely, 2^106664135760 is an apocalyptic number.

106664135760 is a gapful number since it is divisible by the number (10) 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 106664135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236363871744).

106664135760 is an abundant number, since it is smaller than the sum of its proper divisors (366063607728).

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

106664135760 is a wasteful number, since it uses less digits than its factorization.

106664135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 106664135760 in words is "one hundred six billion, six hundred sixty-four million, one hundred thirty-five thousand, seven hundred sixty".