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105121501 is a prime number
BaseRepresentation
bin1100100010000…
…00011011011101
321022210201120221
412101000123131
5203402342001
614233041341
72414342452
oct621003335
9238721527
10105121501
115437a381
122b256251
1318a17994
14dd65829
1593671a1
hex64406dd

105121501 has 2 divisors, whose sum is σ = 105121502. Its totient is φ = 105121500.

The previous prime is 105121493. The next prime is 105121517.

105121501 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (105121517) can be obtained adding 105121501 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103428900 + 1692601 = 10170^2 + 1301^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 105121501 - 23 = 105121493 is a prime.

It is a super-2 number, since 2×1051215012 = 22101059944986002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105121571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52560750 + 52560751.

It is an arithmetic number, because the mean of its divisors is an integer number (52560751).

Almost surely, 2105121501 is an apocalyptic number.

It is an amenable number.

105121501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105121501 is an equidigital number, since it uses as much as digits as its factorization.

105121501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 105121501 is about 10252.8776936039. The cubic root of 105121501 is about 471.9512975819.

The spelling of 105121501 in words is "one hundred five million, one hundred twenty-one thousand, five hundred one".