104856145925041 has 81 divisors (see below), whose sum is σ = 128266436192193. Its totient is φ = 85464905016960.

The previous prime is 104856145925029. The next prime is 104856145925117. The reversal of 104856145925041 is 140529541658401.

The square root of 104856145925041 is 10239929.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 889654536225 + 103966491388816 = 943215^2 + 10196396^2 .

It is not a de Polignac number, because 104856145925041 - 2¹⁷ = 104856145793969 is a prime.

It is a super-2 number, since 2×104856145925041² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104856145922041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 151745507506 + ... + 151745508196.

Almost surely, 2^{104856145925041} is an apocalyptic number.

104856145925041 is the 10239929-th square number.

104856145925041 is the 5119965-th centered octagonal number.

It is an amenable number.

104856145925041 is a deficient number, since it is larger than the sum of its proper divisors (23410290267152).

104856145925041 is an frugal number, since it uses more digits than its factorization.

104856145925041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 55.

The spelling of 104856145925041 in words is "one hundred four trillion, eight hundred fifty-six billion, one hundred forty-five million, nine hundred twenty-five thousand, forty-one".