105404545661625 has 96 divisors (see below), whose sum is σ = 217580076979200. Its totient is φ = 48090267446400.

The previous prime is 105404545661621. The next prime is 105404545661659. The reversal of 105404545661625 is 526166545404501.

It is a happy number.

105404545661625 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 4 + 5 + 4 + 5 + 6 + 6 + 1 + 625 = 666.

It is not a de Polignac number, because 105404545661625 - 2² = 105404545661621 is a prime.

It is a super-2 number, since 2×105404545661625² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105404545661621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9139665 + ... + 17156414.

It is an arithmetic number, because the mean of its divisors is an integer number (2266459135200).

Almost surely, 2^{105404545661625} is an apocalyptic number.

105404545661625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105404545661625 is an abundant number, since it is smaller than the sum of its proper divisors (112175531317575).

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

105404545661625 is a wasteful number, since it uses less digits than its factorization.

105404545661625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26296616 (or 26296603 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 105404545661625 in words is "one hundred five trillion, four hundred four billion, five hundred forty-five million, six hundred sixty-one thousand, six hundred twenty-five".