106332821008 has 80 divisors (see below), whose sum is σ = 222254475696. Its totient is φ = 49103667200.

The previous prime is 106332820963. The next prime is 106332821033. The reversal of 106332821008 is 800128233601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 273174784 + 106059646224 = 16528^2 + 325668^2 .

It is a super-2 number, since 2×106332821008² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 3087210 + ... + 3121462.

Almost surely, 2^106332821008 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 106332821008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111127237848).

106332821008 is an abundant number, since it is smaller than the sum of its proper divisors (115921654688).

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

106332821008 is a wasteful number, since it uses less digits than its factorization.

106332821008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34492 (or 34486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 106332821008 in words is "one hundred six billion, three hundred thirty-two million, eight hundred twenty-one thousand, eight".