106277955168 has 576 divisors, whose sum is σ = 364868582400. Its totient is φ = 26492928000.

The previous prime is 106277955167. The next prime is 106277955169. The reversal of 106277955168 is 861559772601.

It is an interprime number because it is at equal distance from previous prime (106277955167) and next prime (106277955169).

It is a super-2 number, since 2×106277955168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106277955167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236699008 + ... + 236699456.

It is an arithmetic number, because the mean of its divisors is an integer number (633452400).

Almost surely, 2^106277955168 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 106277955168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182434291200).

106277955168 is an abundant number, since it is smaller than the sum of its proper divisors (258590627232).

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

106277955168 is a wasteful number, since it uses less digits than its factorization.

106277955168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 57.

The spelling of 106277955168 in words is "one hundred six billion, two hundred seventy-seven million, nine hundred fifty-five thousand, one hundred sixty-eight".