106046314216440 has 512 divisors, whose sum is σ = 382048627968000. Its totient is φ = 23263492571136.

The previous prime is 106046314216417. The next prime is 106046314216441. The reversal of 106046314216440 is 44612413640601.

It is a happy number.

106046314216440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106046314216440³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106046314216392 and 106046314216401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106046314216441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1027359712 + ... + 1027462928.

It is an arithmetic number, because the mean of its divisors is an integer number (746188726500).

Almost surely, 2^{106046314216440} is an apocalyptic number.

106046314216440 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 106046314216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191024313984000).

106046314216440 is an abundant number, since it is smaller than the sum of its proper divisors (276002313751560).

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

106046314216440 is a wasteful number, since it uses less digits than its factorization.

106046314216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105319 (or 105315 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 106046314216440 in words is "one hundred six trillion, forty-six billion, three hundred fourteen million, two hundred sixteen thousand, four hundred forty".