106122810562104 has 512 divisors, whose sum is σ = 325847199744000. Its totient is φ = 28130438688768.

The previous prime is 106122810562099. The next prime is 106122810562169. The reversal of 106122810562104 is 401265018221601.

It is a happy number.

It is a super-2 number, since 2×106122810562104² (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 127 ways as a sum of consecutive naturals, for example, 19936651587 + ... + 19936656909.

It is an arithmetic number, because the mean of its divisors is an integer number (636420312000).

Almost surely, 2^{106122810562104} is an apocalyptic number.

106122810562104 is a gapful number since it is divisible by the number (14) 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 106122810562104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162923599872000).

106122810562104 is an abundant number, since it is smaller than the sum of its proper divisors (219724389181896).

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

106122810562104 is a wasteful number, since it uses less digits than its factorization.

106122810562104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

Adding to 106122810562104 its reverse (401265018221601), we get a palindrome (507387828783705).

The spelling of 106122810562104 in words is "one hundred six trillion, one hundred twenty-two billion, eight hundred ten million, five hundred sixty-two thousand, one hundred four".