106829089884 has 144 divisors (see below), whose sum is σ = 296404303104. Its totient is φ = 32173574400.

The previous prime is 106829089867. The next prime is 106829089931. The reversal of 106829089884 is 488980928601.

It is a super-2 number, since 2×106829089884² (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 47 ways as a sum of consecutive naturals, for example, 95127747 + ... + 95128869.

It is an arithmetic number, because the mean of its divisors is an integer number (2058363216).

Almost surely, 2^106829089884 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 106829089884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148202151552).

106829089884 is an abundant number, since it is smaller than the sum of its proper divisors (189575213220).

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

106829089884 is a wasteful number, since it uses less digits than its factorization.

106829089884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 106829089884 in words is "one hundred six billion, eight hundred twenty-nine million, eighty-nine thousand, eight hundred eighty-four".