9905111041 has 16 divisors (see below), whose sum is σ = 11688772608. Its totient is φ = 8213774400.

The previous prime is 9905110991. The next prime is 9905111057. The reversal of 9905111041 is 1401115099.

It is a cyclic number.

It is not a de Polignac number, because 9905111041 - 2¹⁹ = 9904586753 is a prime.

It is a super-2 number, since 2×9905111041² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9905110994 and 9905111012.

It is not an unprimeable number, because it can be changed into a prime (9905111441) 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, 1309731 + ... + 1317271.

It is an arithmetic number, because the mean of its divisors is an integer number (730548288).

It is a Proth number, since it is equal to 37785 ⋅ 2¹⁸ + 1 and 37785 < 2¹⁸.

Almost surely, 2^9905111041 is an apocalyptic number.

It is an amenable number.

9905111041 is a deficient number, since it is larger than the sum of its proper divisors (1783661567).

9905111041 is a wasteful number, since it uses less digits than its factorization.

9905111041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13632.

The product of its (nonzero) digits is 1620, while the sum is 31.

The square root of 9905111041 is about 99524.4243439770. The cubic root of 9905111041 is about 2147.5986198020.

The spelling of 9905111041 in words is "nine billion, nine hundred five million, one hundred eleven thousand, forty-one".