Search a number
-
+
107492641 is a prime number
BaseRepresentation
bin1100110100000…
…11010100100001
321111021012011221
412122003110201
5210004231031
614355535041
72443446424
oct632032441
9244235157
10107492641
11557498a3
122bbba481
1319368019
14103c19bb
159684a11
hex6683521

107492641 has 2 divisors, whose sum is σ = 107492642. Its totient is φ = 107492640.

The previous prime is 107492629. The next prime is 107492663. The reversal of 107492641 is 146294701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86881041 + 20611600 = 9321^2 + 4540^2 .

It is a cyclic number.

It is not a de Polignac number, because 107492641 - 213 = 107484449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107492597 and 107492606.

It is not a weakly prime, because it can be changed into another prime (107492681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53746320 + 53746321.

It is an arithmetic number, because the mean of its divisors is an integer number (53746321).

Almost surely, 2107492641 is an apocalyptic number.

It is an amenable number.

107492641 is a deficient number, since it is larger than the sum of its proper divisors (1).

107492641 is an equidigital number, since it uses as much as digits as its factorization.

107492641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 107492641 is about 10367.8657880974. The cubic root of 107492641 is about 475.4734205177.

It can be divided in two parts, 1074926 and 41, that multiplied together give a triangular number (44071966 = T9388).

The spelling of 107492641 in words is "one hundred seven million, four hundred ninety-two thousand, six hundred forty-one".