106316314226232 has 256 divisors, whose sum is σ = 297919178219520. Its totient is φ = 31340795366400.

The previous prime is 106316314226201. The next prime is 106316314226347. The reversal of 106316314226232 is 232622413613601.

It is a super-2 number, since 2×106316314226232² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1650765343 + ... + 1650829745.

It is an arithmetic number, because the mean of its divisors is an integer number (1163746789920).

Almost surely, 2^{106316314226232} is an apocalyptic number.

106316314226232 is a gapful number since it is divisible by the number (12) 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 106316314226232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148959589109760).

106316314226232 is an abundant number, since it is smaller than the sum of its proper divisors (191602863993288).

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

106316314226232 is a wasteful number, since it uses less digits than its factorization.

106316314226232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65274 (or 65270 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 106316314226232 its reverse (232622413613601), we get a palindrome (338938727839833).

The spelling of 106316314226232 in words is "one hundred six trillion, three hundred sixteen billion, three hundred fourteen million, two hundred twenty-six thousand, two hundred thirty-two".