106933175279616 has 896 divisors, whose sum is σ = 343721526220800. Its totient is φ = 29534200528896.

The previous prime is 106933175279611. The next prime is 106933175279627. The reversal of 106933175279616 is 616972571339601.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×106933175279616² (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 (106933175279611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52086299646 + ... + 52086301698.

It is an arithmetic number, because the mean of its divisors is an integer number (383617774800).

Almost surely, 2^{106933175279616} is an apocalyptic number.

106933175279616 is a gapful number since it is divisible by the number (16) 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 106933175279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171860763110400).

106933175279616 is an abundant number, since it is smaller than the sum of its proper divisors (236788350941184).

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

106933175279616 is an equidigital number, since it uses as much as digits as its factorization.

106933175279616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 66.

The spelling of 106933175279616 in words is "one hundred six trillion, nine hundred thirty-three billion, one hundred seventy-five million, two hundred seventy-nine thousand, six hundred sixteen".