106105238430 has 32 divisors (see below), whose sum is σ = 254663630208. Its totient is φ = 28293501600.

The previous prime is 106105238411. The next prime is 106105238431. The reversal of 106105238430 is 34832501601.

It is a super-2 number, since 2×106105238430² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106105238391 and 106105238400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105238431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783645 + ... + 909015.

It is an arithmetic number, because the mean of its divisors is an integer number (7958238444).

Almost surely, 2^106105238430 is an apocalyptic number.

106105238430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105238430 is an abundant number, since it is smaller than the sum of its proper divisors (148558391778).

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

106105238430 is a wasteful number, since it uses less digits than its factorization.

106105238430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153592.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 106105238430 in words is "one hundred six billion, one hundred five million, two hundred thirty-eight thousand, four hundred thirty".