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106548643153 is a prime number
BaseRepresentation
bin110001100111011001…
…0110100010101010001
3101012000120001212211201
41203032302310111101
53221202423040103
6120540415111201
710461242344411
oct1431662642521
9335016055751
10106548643153
1141206a27687
1218796b12501
13a080462214
14522aa88641
152b890e851d
hex18cecb4551

106548643153 has 2 divisors, whose sum is σ = 106548643154. Its totient is φ = 106548643152.

The previous prime is 106548643133. The next prime is 106548643181. The reversal of 106548643153 is 351346845601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104143034944 + 2405608209 = 322712^2 + 49047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106548643153 is a prime.

It is a super-2 number, since 2×1065486431532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106548643133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53274321576 + 53274321577.

It is an arithmetic number, because the mean of its divisors is an integer number (53274321577).

Almost surely, 2106548643153 is an apocalyptic number.

It is an amenable number.

106548643153 is a deficient number, since it is larger than the sum of its proper divisors (1).

106548643153 is an equidigital number, since it uses as much as digits as its factorization.

106548643153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 106548643153 in words is "one hundred six billion, five hundred forty-eight million, six hundred forty-three thousand, one hundred fifty-three".