106761610356 has 192 divisors, whose sum is σ = 272847052800. Its totient is φ = 32378572800.

The previous prime is 106761610301. The next prime is 106761610369. The reversal of 106761610356 is 653016167601.

It is a happy number.

106761610356 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-2 number, since 2×106761610356² (a number of 23 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 63 ways as a sum of consecutive naturals, for example, 222884125 + ... + 222884603.

It is an arithmetic number, because the mean of its divisors is an integer number (1421078400).

Almost surely, 2^106761610356 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 106761610356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136423526400).

106761610356 is an abundant number, since it is smaller than the sum of its proper divisors (166085442444).

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

106761610356 is a wasteful number, since it uses less digits than its factorization.

106761610356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

Adding to 106761610356 its reverse (653016167601), we get a palindrome (759777777957).

The spelling of 106761610356 in words is "one hundred six billion, seven hundred sixty-one million, six hundred ten thousand, three hundred fifty-six".