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105452145153 = 3279714701261
BaseRepresentation
bin110001000110101110…
…0000000101000000001
3101002012010211000100200
41202031130000220001
53211431222121103
6120235525235413
710422126305265
oct1421534005001
9332163730320
10105452145153
11407a3a94493
121852b862b69
139c37239534
1451651bc0a5
152b22c050a3
hex188d700a01

105452145153 has 12 divisors (see below), whose sum is σ = 152510891988. Its totient is φ = 70213217760.

The previous prime is 105452145037. The next prime is 105452145191. The reversal of 105452145153 is 351541254501.

105452145153 is a `hidden beast` number, since 1 + 0 + 545 + 2 + 14 + 51 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23903633664 + 81548511489 = 154608^2 + 285567^2 .

It is not a de Polignac number, because 105452145153 - 225 = 105418590721 is a prime.

It is a super-2 number, since 2×1054521451532 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105452145353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7343458 + ... + 7357803.

It is an arithmetic number, because the mean of its divisors is an integer number (12709240999).

Almost surely, 2105452145153 is an apocalyptic number.

It is an amenable number.

105452145153 is a deficient number, since it is larger than the sum of its proper divisors (47058746835).

105452145153 is a wasteful number, since it uses less digits than its factorization.

105452145153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14702064 (or 14702061 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 105452145153 its reverse (351541254501), we get a palindrome (456993399654).

The spelling of 105452145153 in words is "one hundred five billion, four hundred fifty-two million, one hundred forty-five thousand, one hundred fifty-three".

Divisors: 1 3 9 797 2391 7173 14701261 44103783 132311349 11716905017 35150715051 105452145153