106430841000 has 768 divisors, whose sum is σ = 421314566400. Its totient is φ = 24893568000.

The previous prime is 106430840983. The next prime is 106430841001. The reversal of 106430841000 is 148034601.

106430841000 is a `hidden beast` number, since 1 + 0 + 643 + 0 + 8 + 4 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×106430841000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106430841001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77516314 + ... + 77517686.

It is an arithmetic number, because the mean of its divisors is an integer number (548586675).

Almost surely, 2^106430841000 is an apocalyptic number.

106430841000 is a gapful number since it is divisible by the number (10) 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 106430841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210657283200).

106430841000 is an abundant number, since it is smaller than the sum of its proper divisors (314883725400).

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

106430841000 is a wasteful number, since it uses less digits than its factorization.

106430841000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 106430841000 its reverse (148034601), we get a palindrome (106578875601).

The spelling of 106430841000 in words is "one hundred six billion, four hundred thirty million, eight hundred forty-one thousand".