106777954080 has 1152 divisors, whose sum is σ = 463325184000. Its totient is φ = 22835312640.

The previous prime is 106777954067. The next prime is 106777954117. The reversal of 106777954080 is 80459777601.

106777954080 is a `hidden beast` number, since 10 + 6 + 7 + 7 + 7 + 9 + 540 + 80 = 666.

It is a super-2 number, since 2×106777954080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 559046785 + ... + 559046975.

It is an arithmetic number, because the mean of its divisors is an integer number (402192000).

Almost surely, 2^106777954080 is an apocalyptic number.

106777954080 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 106777954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592000).

106777954080 is an abundant number, since it is smaller than the sum of its proper divisors (356547229920).

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

106777954080 is a wasteful number, since it uses less digits than its factorization.

106777954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 106777954080 in words is "one hundred six billion, seven hundred seventy-seven million, nine hundred fifty-four thousand, eighty".