106776677340 has 144 divisors (see below), whose sum is σ = 345560735520. Its totient is φ = 26594181120.

The previous prime is 106776677333. The next prime is 106776677347. The reversal of 106776677340 is 43776677601.

106776677340 is a `hidden beast` number, since 106 + 77 + 66 + 77 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (106776677333) and next prime (106776677347).

It is a super-2 number, since 2×106776677340² (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 (106776677347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267676 + ... + 534044.

It is an arithmetic number, because the mean of its divisors is an integer number (2399727330).

Almost surely, 2^106776677340 is an apocalyptic number.

106776677340 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 106776677340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172780367760).

106776677340 is an abundant number, since it is smaller than the sum of its proper divisors (238784058180).

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

106776677340 is a wasteful number, since it uses less digits than its factorization.

106776677340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266532 (or 266527 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 106776677340 in words is "one hundred six billion, seven hundred seventy-six million, six hundred seventy-seven thousand, three hundred forty".