105412036041 has 56 divisors (see below), whose sum is σ = 170319033416. Its totient is φ = 64824779520.

The previous prime is 105412036003. The next prime is 105412036049. The reversal of 105412036041 is 140630214501.

It is a happy number.

105412036041 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 2 + 0 + 3 + 604 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5158112400 + 100253923641 = 71820^2 + 316629^2 .

It is not a de Polignac number, because 105412036041 - 2⁷ = 105412035913 is a prime.

It is a super-2 number, since 2×105412036041² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105412035996 and 105412036014.

It is not an unprimeable number, because it can be changed into a prime (105412036049) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18884871 + ... + 18890451.

It is an arithmetic number, because the mean of its divisors is an integer number (3041411311).

Almost surely, 2^105412036041 is an apocalyptic number.

It is an amenable number.

105412036041 is a deficient number, since it is larger than the sum of its proper divisors (64906997375).

105412036041 is an equidigital number, since it uses as much as digits as its factorization.

105412036041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 105412036041 in words is "one hundred five billion, four hundred twelve million, thirty-six thousand, forty-one".