106430828868 has 432 divisors, whose sum is σ = 357559413120. Its totient is φ = 26383408128.

The previous prime is 106430828839. The next prime is 106430828899. The reversal of 106430828868 is 868828034601.

106430828868 is a `hidden beast` number, since 106 + 430 + 8 + 28 + 86 + 8 = 666.

It is a super-2 number, since 2×106430828868² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59691105 + ... + 59692887.

Almost surely, 2^106430828868 is an apocalyptic number.

106430828868 is a gapful number since it is divisible by the number (18) 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 106430828868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178779706560).

106430828868 is an abundant number, since it is smaller than the sum of its proper divisors (251128584252).

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

106430828868 is a wasteful number, since it uses less digits than its factorization.

106430828868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 106430828868 in words is "one hundred six billion, four hundred thirty million, eight hundred twenty-eight thousand, eight hundred sixty-eight".