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105514304 = 267235523
BaseRepresentation
bin1100100101000…
…00010101000000
321100112200102012
412102200111000
5204002424204
614245312052
72420566610
oct622402500
9240480365
10105514304
1154618505
122b405628
1318b246cc
1410028a40
1593e376e
hex64a0540

105514304 has 28 divisors (see below), whose sum is σ = 239292384. Its totient is φ = 45220224.

The previous prime is 105514261. The next prime is 105514309. The reversal of 105514304 is 403415501.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1055143042 = 22266536697208832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105514304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105514309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117314 + ... + 118209.

Almost surely, 2105514304 is an apocalyptic number.

105514304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105514304 is an abundant number, since it is smaller than the sum of its proper divisors (133778080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105514304 is an equidigital number, since it uses as much as digits as its factorization.

105514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235542 (or 235532 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105514304 is about 10272.0155763122. The cubic root of 105514304 is about 472.5384069636.

Adding to 105514304 its reverse (403415501), we get a palindrome (508929805).

The spelling of 105514304 in words is "one hundred five million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 235523 471046 942092 1648661 1884184 3297322 3768368 6594644 7536736 13189288 15073472 26378576 52757152 105514304