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105253504 = 27822293
BaseRepresentation
bin1100100011000…
…00101010000000
321100001102122221
412101200222000
5203421103004
614235540424
72415432346
oct621405200
9240042587
10105253504
115445a574
122b2ba714
1318a62aa5
14dd9b996
159391354
hex6460a80

105253504 has 16 divisors (see below), whose sum is σ = 209684970. Its totient is φ = 52626688.

The previous prime is 105253481. The next prime is 105253523. The reversal of 105253504 is 405352501.

It can be written as a sum of positive squares in only one way, i.e., 103063104 + 2190400 = 10152^2 + 1480^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1052535042 = 22156600208556032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411019 + ... + 411274.

Almost surely, 2105253504 is an apocalyptic number.

It is an amenable number.

105253504 is a deficient number, since it is larger than the sum of its proper divisors (104431466).

105253504 is an frugal number, since it uses more digits than its factorization.

105253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822307 (or 822295 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105253504 is about 10259.3130374309. The cubic root of 105253504 is about 472.1487609237.

The spelling of 105253504 in words is "one hundred five million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 822293 1644586 3289172 6578344 13156688 26313376 52626752 105253504