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106364554321 is a prime number
BaseRepresentation
bin110001100001111010…
…0100100110001010001
3101011112201200012102211
41203003310210301101
53220313311214241
6120510241312121
710453545536314
oct1430364446121
9334481605384
10106364554321
1141122021a53
1218745335641
13a05128920c
14521044897b
152b77d83781
hex18c3d24c51

106364554321 has 2 divisors, whose sum is σ = 106364554322. Its totient is φ = 106364554320.

The previous prime is 106364554301. The next prime is 106364554327. The reversal of 106364554321 is 123455463601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104988960400 + 1375593921 = 324020^2 + 37089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106364554321 is a prime.

It is a super-2 number, since 2×1063645543212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106364554327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53182277160 + 53182277161.

It is an arithmetic number, because the mean of its divisors is an integer number (53182277161).

Almost surely, 2106364554321 is an apocalyptic number.

It is an amenable number.

106364554321 is a deficient number, since it is larger than the sum of its proper divisors (1).

106364554321 is an equidigital number, since it uses as much as digits as its factorization.

106364554321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 106364554321 in words is "one hundred six billion, three hundred sixty-four million, five hundred fifty-four thousand, three hundred twenty-one".