106177776096 has 192 divisors, whose sum is σ = 337556782080. Its totient is φ = 28575805440.

The previous prime is 106177776073. The next prime is 106177776097. The reversal of 106177776096 is 690677771601.

It is a super-2 number, since 2×106177776096² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106177776097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732565 + ... + 865451.

It is an arithmetic number, because the mean of its divisors is an integer number (1758108240).

Almost surely, 2^106177776096 is an apocalyptic number.

106177776096 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 106177776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168778391040).

106177776096 is an abundant number, since it is smaller than the sum of its proper divisors (231379005984).

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

106177776096 is a wasteful number, since it uses less digits than its factorization.

106177776096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132977 (or 132969 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 57.

The spelling of 106177776096 in words is "one hundred six billion, one hundred seventy-seven million, seven hundred seventy-six thousand, ninety-six".