106777908160 has 224 divisors, whose sum is σ = 320090913792. Its totient is φ = 32957521920.

The previous prime is 106777908151. The next prime is 106777908161. The reversal of 106777908160 is 61809777601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106777908160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106777908098 and 106777908107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106777908161) 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, 2516884 + ... + 2558956.

Almost surely, 2^106777908160 is an apocalyptic number.

106777908160 is a gapful number since it is divisible by the number (10) 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 106777908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160045456896).

106777908160 is an abundant number, since it is smaller than the sum of its proper divisors (213313005632).

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

106777908160 is a wasteful number, since it uses less digits than its factorization.

106777908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42211 (or 42201 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 52.

The spelling of 106777908160 in words is "one hundred six billion, seven hundred seventy-seven million, nine hundred eight thousand, one hundred sixty".