105378989 has 2 divisors, whose sum is σ = 105378990. Its totient is φ = 105378988.

The previous prime is 105378961. The next prime is 105379019. The reversal of 105378989 is 989873501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92833225 + 12545764 = 9635^2 + 3542^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105378989 is a prime.

It is a super-2 number, since 2×105378989² = 22209462645324242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105378589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52689494 + 52689495.

It is an arithmetic number, because the mean of its divisors is an integer number (52689495).

Almost surely, 2^105378989 is an apocalyptic number.

It is an amenable number.

105378989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105378989 is an equidigital number, since it uses as much as digits as its factorization.

105378989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 50.

The square root of 105378989 is about 10265.4268786057. The cubic root of 105378989 is about 472.3363209741.

The spelling of 105378989 in words is "one hundred five million, three hundred seventy-eight thousand, nine hundred eighty-nine".