106824666330 has 96 divisors (see below), whose sum is σ = 291936213504. Its totient is φ = 27049068288.

The previous prime is 106824666323. The next prime is 106824666331. The reversal of 106824666330 is 33666428601.

It is a super-2 number, since 2×106824666330² (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 not an unprimeable number, because it can be changed into a prime (106824666331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95247 + ... + 471933.

It is an arithmetic number, because the mean of its divisors is an integer number (3041002224).

Almost surely, 2^106824666330 is an apocalyptic number.

106824666330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106824666330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145968106752).

106824666330 is an abundant number, since it is smaller than the sum of its proper divisors (185111547174).

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

106824666330 is a wasteful number, since it uses less digits than its factorization.

106824666330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376860 (or 376857 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 106824666330 in words is "one hundred six billion, eight hundred twenty-four million, six hundred sixty-six thousand, three hundred thirty".