Search a number
-
+
100107037 is a prime number
BaseRepresentation
bin1011111011110…
…00001100011101
320222100222001001
411331320030131
5201111411122
613533350301
72323616152
oct575701435
9228328031
10100107037
1151564998
1229638391
1317980444
14d41c229
158bc6527
hex5f7831d

100107037 has 2 divisors, whose sum is σ = 100107038. Its totient is φ = 100107036.

The previous prime is 100107031. The next prime is 100107041. The reversal of 100107037 is 730701001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58813561 + 41293476 = 7669^2 + 6426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100107037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100107031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053518 + 50053519.

It is an arithmetic number, because the mean of its divisors is an integer number (50053519).

Almost surely, 2100107037 is an apocalyptic number.

It is an amenable number.

100107037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100107037 is an equidigital number, since it uses as much as digits as its factorization.

100107037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 100107037 is about 10005.3504186510. The cubic root of 100107037 is about 464.3244315574.

Adding to 100107037 its reverse (730701001), we get a palindrome (830808038).

The spelling of 100107037 in words is "one hundred million, one hundred seven thousand, thirty-seven".