106014057604 has 81 divisors (see below), whose sum is σ = 233823142287. Its totient is φ = 41916184128.

The previous prime is 106014057601. The next prime is 106014057647. The reversal of 106014057604 is 406750410601.

The square root of 106014057604 is 325598.

It is a perfect power (a square), and thus also a powerful number.

106014057604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2618368900 + 103395688704 = 51170^2 + 321552^2 .

It is a super-2 number, since 2×106014057604² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106014057604.

It is not an unprimeable number, because it can be changed into a prime (106014057601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 59257942 + ... + 59259730.

Almost surely, 2^106014057604 is an apocalyptic number.

106014057604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106014057604 is the 325598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106014057604

106014057604 is an abundant number, since it is smaller than the sum of its proper divisors (127809084683).

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

106014057604 is an equidigital number, since it uses as much as digits as its factorization.

106014057604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 106014057604 in words is "one hundred six billion, fourteen million, fifty-seven thousand, six hundred four".