106121412235314 has 384 divisors, whose sum is σ = 289556143898112. Its totient is φ = 28436436357120.

The previous prime is 106121412235303. The next prime is 106121412235327. The reversal of 106121412235314 is 413532214121601.

106121412235314 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 1 + 412 + 235 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×106121412235314² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33361020804 + ... + 33361023984.

It is an arithmetic number, because the mean of its divisors is an integer number (754052458068).

Almost surely, 2^{106121412235314} is an apocalyptic number.

106121412235314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106121412235314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144778071949056).

106121412235314 is an abundant number, since it is smaller than the sum of its proper divisors (183434731662798).

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

106121412235314 is a wasteful number, since it uses less digits than its factorization.

106121412235314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 106121412235314 its reverse (413532214121601), we get a palindrome (519653626356915).

The spelling of 106121412235314 in words is "one hundred six trillion, one hundred twenty-one billion, four hundred twelve million, two hundred thirty-five thousand, three hundred fourteen".