105051920106120 has 64 divisors (see below), whose sum is σ = 339398511117120. Its totient is φ = 25858934179584.

The previous prime is 105051920106109. The next prime is 105051920106121. The reversal of 105051920106120 is 21601029150501.

It is a super-2 number, since 2×105051920106120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105051920106121) 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, 33670485654 + ... + 33670488773.

It is an arithmetic number, because the mean of its divisors is an integer number (5303101736205).

Almost surely, 2^{105051920106120} is an apocalyptic number.

105051920106120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105051920106120 is an abundant number, since it is smaller than the sum of its proper divisors (234346591011000).

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

105051920106120 is a wasteful number, since it uses less digits than its factorization.

105051920106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67340974454 (or 67340974450 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

Adding to 105051920106120 its reverse (21601029150501), we get a palindrome (126652949256621).

The spelling of 105051920106120 in words is "one hundred five trillion, fifty-one billion, nine hundred twenty million, one hundred six thousand, one hundred twenty".