106342162133592 has 1536 divisors, whose sum is σ = 386271369216000. Its totient is φ = 23965562880000.

The previous prime is 106342162133561. The next prime is 106342162133593. The reversal of 106342162133592 is 295331261243601.

It is a happy number.

106342162133592 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106342162133592² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106342162133593) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24898654417 + ... + 24898658687.

It is an arithmetic number, because the mean of its divisors is an integer number (251478756000).

Almost surely, 2^{106342162133592} is an apocalyptic number.

106342162133592 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 106342162133592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193135684608000).

106342162133592 is an abundant number, since it is smaller than the sum of its proper divisors (279929207082408).

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

106342162133592 is a wasteful number, since it uses less digits than its factorization.

106342162133592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 106342162133592 in words is "one hundred six trillion, three hundred forty-two billion, one hundred sixty-two million, one hundred thirty-three thousand, five hundred ninety-two".