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106157567489 is a prime number
BaseRepresentation
bin110001011011101111…
…0111110111000000001
3101011000022012011212212
41202313132332320001
53214402314124424
6120433525031505
710445453302211
oct1426736767001
9334008164785
10106157567489
11410261a7756
12186a7b55595
13a01a4269bc
1451d0b68241
152b64ae910e
hex18b77bee01

106157567489 has 2 divisors, whose sum is σ = 106157567490. Its totient is φ = 106157567488.

The previous prime is 106157567479. The next prime is 106157567557. The reversal of 106157567489 is 984765751601.

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., 62400040000 + 43757527489 = 249800^2 + 209183^2 .

It is a cyclic number.

It is not a de Polignac number, because 106157567489 - 28 = 106157567233 is a prime.

It is a super-2 number, since 2×1061575674892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106157567449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53078783744 + 53078783745.

It is an arithmetic number, because the mean of its divisors is an integer number (53078783745).

Almost surely, 2106157567489 is an apocalyptic number.

It is an amenable number.

106157567489 is a deficient number, since it is larger than the sum of its proper divisors (1).

106157567489 is an equidigital number, since it uses as much as digits as its factorization.

106157567489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 59.

The spelling of 106157567489 in words is "one hundred six billion, one hundred fifty-seven million, five hundred sixty-seven thousand, four hundred eighty-nine".