105487997 has 2 divisors, whose sum is σ = 105487998. Its totient is φ = 105487996.

The previous prime is 105487969. The next prime is 105488003. The reversal of 105487997 is 799784501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76983076 + 28504921 = 8774^2 + 5339^2 .

It is an emirp because it is prime and its reverse (799784501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105487997 - 2⁸ = 105487741 is a prime.

It is a super-2 number, since 2×105487997² = 22255435022144018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105487927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52743998 + 52743999.

It is an arithmetic number, because the mean of its divisors is an integer number (52743999).

Almost surely, 2^105487997 is an apocalyptic number.

It is an amenable number.

105487997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105487997 is an equidigital number, since it uses as much as digits as its factorization.

105487997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 50.

The square root of 105487997 is about 10270.7349785690. The cubic root of 105487997 is about 472.4991323482.

The spelling of 105487997 in words is "one hundred five million, four hundred eighty-seven thousand, nine hundred ninety-seven".