106202623120 has 80 divisors (see below), whose sum is σ = 272035713600. Its totient is φ = 38236736000.

The previous prime is 106202623097. The next prime is 106202623123. The reversal of 106202623120 is 21326202601.

106202623120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106202623120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106202623123) 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 15 ways as a sum of consecutive naturals, for example, 508570 + ... + 686329.

It is an arithmetic number, because the mean of its divisors is an integer number (3400446420).

Almost surely, 2^106202623120 is an apocalyptic number.

106202623120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106202623120 is an abundant number, since it is smaller than the sum of its proper divisors (165833090480).

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

106202623120 is a wasteful number, since it uses less digits than its factorization.

106202623120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195024 (or 1195018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 106202623120 its reverse (21326202601), we get a palindrome (127528825721).

The spelling of 106202623120 in words is "one hundred six billion, two hundred two million, six hundred twenty-three thousand, one hundred twenty".