135105101120 has 56 divisors (see below), whose sum is σ = 350966215008. Its totient is φ = 49129126400.

The previous prime is 135105101107. The next prime is 135105101123. The reversal of 135105101120 is 21101501531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135105101092 and 135105101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135105101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19187546 + ... + 19194585.

Almost surely, 2^135105101120 is an apocalyptic number.

135105101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135105101120 is an abundant number, since it is smaller than the sum of its proper divisors (215861113888).

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

135105101120 is a wasteful number, since it uses less digits than its factorization.

135105101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38382159 (or 38382149 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 135105101120 its reverse (21101501531), we get a palindrome (156206602651).

The spelling of 135105101120 in words is "one hundred thirty-five billion, one hundred five million, one hundred one thousand, one hundred twenty".