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106807614457 is a prime number
BaseRepresentation
bin110001101111000111…
…0101101101111111001
3101012200121100222200111
41203132032231233321
53222220222130312
6121022225504321
710500535512655
oct1433616555771
9335617328614
10106807614457
114132a128655
12188497a20a1
13a0c1cc618b
14525321ba65
152ba1c008a7
hex18de3adbf9

106807614457 has 2 divisors, whose sum is σ = 106807614458. Its totient is φ = 106807614456.

The previous prime is 106807614449. The next prime is 106807614491. The reversal of 106807614457 is 754416708601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106608127081 + 199487376 = 326509^2 + 14124^2 .

It is a cyclic number.

It is not a de Polignac number, because 106807614457 - 23 = 106807614449 is a prime.

It is a super-2 number, since 2×1068076144572 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106807614457.

It is not a weakly prime, because it can be changed into another prime (106807614437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53403807228 + 53403807229.

It is an arithmetic number, because the mean of its divisors is an integer number (53403807229).

Almost surely, 2106807614457 is an apocalyptic number.

It is an amenable number.

106807614457 is a deficient number, since it is larger than the sum of its proper divisors (1).

106807614457 is an equidigital number, since it uses as much as digits as its factorization.

106807614457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 106807614457 in words is "one hundred six billion, eight hundred seven million, six hundred fourteen thousand, four hundred fifty-seven".