105616501 has 2 divisors, whose sum is σ = 105616502. Its totient is φ = 105616500.

The previous prime is 105616493. The next prime is 105616507.

105616501 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61074225 + 44542276 = 7815^2 + 6674^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 105616501 - 2³ = 105616493 is a prime.

It is a super-2 number, since 2×105616501² = 22309690566966002, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105616507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52808250 + 52808251.

It is an arithmetic number, because the mean of its divisors is an integer number (52808251).

Almost surely, 2^105616501 is an apocalyptic number.

It is an amenable number.

105616501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105616501 is an equidigital number, since it uses as much as digits as its factorization.

105616501 is an evil number, because the sum of its binary digits is even.

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

The square root of 105616501 is about 10276.9889072627. The cubic root of 105616501 is about 472.6909184332.

The spelling of 105616501 in words is "one hundred five million, six hundred sixteen thousand, five hundred one".