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107091937 is a prime number
BaseRepresentation
bin1100110001000…
…01011111100001
321110111211112001
412120201133201
5204403420222
614343204001
72440160251
oct630413741
9243454461
10107091937
11554a5837
122ba46601
1319257814
1410319961
159605e27
hex66217e1

107091937 has 2 divisors, whose sum is σ = 107091938. Its totient is φ = 107091936.

The previous prime is 107091893. The next prime is 107091947. The reversal of 107091937 is 739190701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87590881 + 19501056 = 9359^2 + 4416^2 .

It is a cyclic number.

It is not a de Polignac number, because 107091937 - 223 = 98703329 is a prime.

It is a super-2 number, since 2×1070919372 = 22937365940823938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 107091896 and 107091905.

It is not a weakly prime, because it can be changed into another prime (107091947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53545968 + 53545969.

It is an arithmetic number, because the mean of its divisors is an integer number (53545969).

Almost surely, 2107091937 is an apocalyptic number.

It is an amenable number.

107091937 is a deficient number, since it is larger than the sum of its proper divisors (1).

107091937 is an equidigital number, since it uses as much as digits as its factorization.

107091937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11907, while the sum is 37.

The square root of 107091937 is about 10348.5234212423. The cubic root of 107091937 is about 474.8818720102.

The spelling of 107091937 in words is "one hundred seven million, ninety-one thousand, nine hundred thirty-seven".