106365629076 has 288 divisors, whose sum is σ = 315677819520. Its totient is φ = 27695001600.

The previous prime is 106365629023. The next prime is 106365629113. The reversal of 106365629076 is 670926563601.

It is a happy number.

It is a super-2 number, since 2×106365629076² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33436206 + ... + 33439386.

It is an arithmetic number, because the mean of its divisors is an integer number (1096103540).

Almost surely, 2^106365629076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106365629076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157838909760).

106365629076 is an abundant number, since it is smaller than the sum of its proper divisors (209312190444).

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

106365629076 is a wasteful number, since it uses less digits than its factorization.

106365629076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 106365629076 in words is "one hundred six billion, three hundred sixty-five million, six hundred twenty-nine thousand, seventy-six".