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105501097 = 13371371601
BaseRepresentation
bin1100100100111…
…01000110101001
321100112000022001
412102131012221
5204002013342
614245131001
72420513242
oct622350651
9240460261
10105501097
1154609599
122b3b9a61
1318b1b6b0
1410023cc9
1593de8b7
hex649d1a9

105501097 has 16 divisors (see below), whose sum is σ = 117612432. Its totient is φ = 94003200.

The previous prime is 105501083. The next prime is 105501107. The reversal of 105501097 is 790105501.

It can be written as a sum of positive squares in 8 ways, for example, as 19456921 + 86044176 = 4411^2 + 9276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105501097 is a prime.

It is a super-2 number, since 2×1055010972 = 22260962936406818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105501197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65097 + ... + 66697.

It is an arithmetic number, because the mean of its divisors is an integer number (7350777).

Almost surely, 2105501097 is an apocalyptic number.

It is an amenable number.

105501097 is a deficient number, since it is larger than the sum of its proper divisors (12111335).

105501097 is a wasteful number, since it uses less digits than its factorization.

105501097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788.

The product of its (nonzero) digits is 1575, while the sum is 28.

The square root of 105501097 is about 10271.3726930727. The cubic root of 105501097 is about 472.5186906000.

Adding to 105501097 its reverse (790105501), we get a palindrome (895606598).

The spelling of 105501097 in words is "one hundred five million, five hundred one thousand, ninety-seven".

Divisors: 1 13 37 137 481 1601 1781 5069 20813 59237 65897 219337 770081 2851381 8115469 105501097