105004951 has 2 divisors, whose sum is σ = 105004952. Its totient is φ = 105004950.

The previous prime is 105004891. The next prime is 105004981. The reversal of 105004951 is 159400501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105004951 - 2²³ = 96616343 is a prime.

It is a super-2 number, since 2×105004951² = 22052079469024802, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105004981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502475 + 52502476.

It is an arithmetic number, because the mean of its divisors is an integer number (52502476).

Almost surely, 2^105004951 is an apocalyptic number.

105004951 is a deficient number, since it is larger than the sum of its proper divisors (1).

105004951 is an equidigital number, since it uses as much as digits as its factorization.

105004951 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105004951 is about 10247.1923471749. The cubic root of 105004951 is about 471.7768129319.

It can be divided in two parts, 10500 and 4951, that added together give a palindrome (15451).

The spelling of 105004951 in words is "one hundred five million, four thousand, nine hundred fifty-one".