106025077344 has 24 divisors (see below), whose sum is σ = 278315828280. Its totient is φ = 35341692416.

The previous prime is 106025077343. The next prime is 106025077441. The reversal of 106025077344 is 443770520601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106025077344² (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 (106025077343) 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 3 ways as a sum of consecutive naturals, for example, 552213849 + ... + 552214040.

It is an arithmetic number, because the mean of its divisors is an integer number (11596492845).

Almost surely, 2^106025077344 is an apocalyptic number.

It is an amenable number.

106025077344 is an abundant number, since it is smaller than the sum of its proper divisors (172290750936).

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

106025077344 is a wasteful number, since it uses less digits than its factorization.

106025077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104427902 (or 1104427894 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

Adding to 106025077344 its reverse (443770520601), we get a palindrome (549795597945).

The spelling of 106025077344 in words is "one hundred six billion, twenty-five million, seventy-seven thousand, three hundred forty-four".