106261203014080 has 112 divisors (see below), whose sum is σ = 270475892172864. Its totient is φ = 39664839188480.

The previous prime is 106261203014027. The next prime is 106261203014081. The reversal of 106261203014080 is 80410302162601.

It is a super-2 number, since 2×106261203014080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106261203014081) 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, 175767307 + ... + 176370826.

It is an arithmetic number, because the mean of its divisors is an integer number (2414963322972).

Almost surely, 2^{106261203014080} is an apocalyptic number.

106261203014080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106261203014080 is an abundant number, since it is smaller than the sum of its proper divisors (164214689158784).

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

106261203014080 is a wasteful number, since it uses less digits than its factorization.

106261203014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352138214 (or 352138204 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 106261203014080 its reverse (80410302162601), we get a palindrome (186671505176681).

The spelling of 106261203014080 in words is "one hundred six trillion, two hundred sixty-one billion, two hundred three million, fourteen thousand, eighty".