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100509007 is a prime number
BaseRepresentation
bin1011111110110…
…10010101001111
321000010101102211
411333122111033
5201212242012
613550131251
72330212114
oct577322517
9230111384
10100509007
11518099a5
12297b0b27
1317a913b1
14d4c490b
158c556a7
hex5fda54f

100509007 has 2 divisors, whose sum is σ = 100509008. Its totient is φ = 100509006.

The previous prime is 100508963. The next prime is 100509043. The reversal of 100509007 is 700905001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100509007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100509047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50254503 + 50254504.

It is an arithmetic number, because the mean of its divisors is an integer number (50254504).

Almost surely, 2100509007 is an apocalyptic number.

100509007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100509007 is an equidigital number, since it uses as much as digits as its factorization.

100509007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 100509007 is about 10025.4180461465. The cubic root of 100509007 is about 464.9450846622.

The spelling of 100509007 in words is "one hundred million, five hundred nine thousand, seven".