101106105056000 has 144 divisors (see below), whose sum is σ = 274765032910368. Its totient is φ = 36765856256000.

The previous prime is 101106105055937. The next prime is 101106105056053. The reversal of 101106105056000 is 650501601101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143264627 + ... + 143968626.

It is an arithmetic number, because the mean of its divisors is an integer number (1908090506322).

Almost surely, 2^{101106105056000} is an apocalyptic number.

101106105056000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101106105056000 is an abundant number, since it is smaller than the sum of its proper divisors (173658927854368).

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

101106105056000 is an equidigital number, since it uses as much as digits as its factorization.

101106105056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287233295 (or 287233271 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 101106105056000 its reverse (650501601101), we get a palindrome (101756606657101).

The spelling of 101106105056000 in words is "one hundred one trillion, one hundred six billion, one hundred five million, fifty-six thousand".