105013801 has 2 divisors, whose sum is σ = 105013802. Its totient is φ = 105013800.

The previous prime is 105013789. The next prime is 105013861. The reversal of 105013801 is 108310501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98485776 + 6528025 = 9924^2 + 2555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105013801 is a prime.

It is a super-2 number, since 2×105013801² = 22055796800935202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105013861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52506900 + 52506901.

It is an arithmetic number, because the mean of its divisors is an integer number (52506901).

Almost surely, 2^105013801 is an apocalyptic number.

It is an amenable number.

105013801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105013801 is an equidigital number, since it uses as much as digits as its factorization.

105013801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 105013801 is about 10247.6241636781. The cubic root of 105013801 is about 471.7900666165.

The spelling of 105013801 in words is "one hundred five million, thirteen thousand, eight hundred one".