106777088431488 has 640 divisors, whose sum is σ = 336539977488000. Its totient is φ = 33513042124800.

The previous prime is 106777088431483. The next prime is 106777088431511. The reversal of 106777088431488 is 884134880777601.

106777088431488 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 7 + 70 + 88 + 431 + 48 + 8 = 666.

It is a super-2 number, since 2×106777088431488² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106777088431483) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42355051668 + ... + 42355054188.

It is an arithmetic number, because the mean of its divisors is an integer number (525843714825).

Almost surely, 2^{106777088431488} is an apocalyptic number.

106777088431488 is a gapful number since it is divisible by the number (18) 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 106777088431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168269988744000).

106777088431488 is an abundant number, since it is smaller than the sum of its proper divisors (229762889056512).

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

106777088431488 is a wasteful number, since it uses less digits than its factorization.

106777088431488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 106777088431488 in words is "one hundred six trillion, seven hundred seventy-seven billion, eighty-eight million, four hundred thirty-one thousand, four hundred eighty-eight".