106430862384 has 990 divisors, whose sum is σ = 416312586060. Its totient is φ = 26189412480.

The previous prime is 106430862383. The next prime is 106430862397. The reversal of 106430862384 is 483268034601.

106430862384 is a `hidden beast` number, since 10 + 6 + 4 + 3 + 0 + 8 + 623 + 8 + 4 = 666.

It is a super-2 number, since 2×106430862384² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106430862383) by changing a digit.

It is a polite number, since it can be written in 197 ways as a sum of consecutive naturals, for example, 5601624327 + ... + 5601624345.

Almost surely, 2^106430862384 is an apocalyptic number.

106430862384 is a gapful number since it is divisible by the number (14) 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 106430862384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208156293030).

106430862384 is an abundant number, since it is smaller than the sum of its proper divisors (309881723676).

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

106430862384 is an equidigital number, since it uses as much as digits as its factorization.

106430862384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 106430862384 its reverse (483268034601), we get a palindrome (589698896985).

The spelling of 106430862384 in words is "one hundred six billion, four hundred thirty million, eight hundred sixty-two thousand, three hundred eighty-four".