106770014344 has 64 divisors (see below), whose sum is σ = 234677836800. Its totient is φ = 44595360000.

The previous prime is 106770014321. The next prime is 106770014347. The reversal of 106770014344 is 443410077601.

It is a happy number.

106770014344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106770014344² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106770014347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228969 + ... + 515719.

It is an arithmetic number, because the mean of its divisors is an integer number (3666841200).

Almost surely, 2^106770014344 is an apocalyptic number.

106770014344 is a gapful number since it is divisible by the number (14) 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 106770014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117338918400).

106770014344 is an abundant number, since it is smaller than the sum of its proper divisors (127907822456).

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

106770014344 is a wasteful number, since it uses less digits than its factorization.

106770014344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286934 (or 286930 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 106770014344 in words is "one hundred six billion, seven hundred seventy million, fourteen thousand, three hundred forty-four".