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105400363553 is a prime number
BaseRepresentation
bin110001000101001011…
…0011110101000100001
3101002001112101020100122
41202022112132220201
53211324443113203
6120230435330025
710420630210442
oct1421226365041
9332045336318
10105400363553
1140777837181
1218516450915
139c295a9234
14515c37d2c9
152b1d3c7538
hex188a59ea21

105400363553 has 2 divisors, whose sum is σ = 105400363554. Its totient is φ = 105400363552.

The previous prime is 105400363547. The next prime is 105400363567. The reversal of 105400363553 is 355363004501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96362438929 + 9037924624 = 310423^2 + 95068^2 .

It is an emirp because it is prime and its reverse (355363004501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105400363553 - 28 = 105400363297 is a prime.

It is a super-2 number, since 2×1054003635532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105400363513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52700181776 + 52700181777.

It is an arithmetic number, because the mean of its divisors is an integer number (52700181777).

Almost surely, 2105400363553 is an apocalyptic number.

It is an amenable number.

105400363553 is a deficient number, since it is larger than the sum of its proper divisors (1).

105400363553 is an equidigital number, since it uses as much as digits as its factorization.

105400363553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 105400363553 in words is "one hundred five billion, four hundred million, three hundred sixty-three thousand, five hundred fifty-three".