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105245520 = 2435438523
BaseRepresentation
bin1100100010111…
…10101101010000
321100001000201020
412101132231100
5203420324040
614235435440
72415400152
oct621365520
9240030636
10105245520
1154454576
122b2b5b80
1318a5c273
14dd98ad2
15938dcd0
hex645eb50

105245520 has 40 divisors (see below), whose sum is σ = 326261856. Its totient is φ = 28065408.

The previous prime is 105245513. The next prime is 105245537. The reversal of 105245520 is 25542501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1052455202 = 22153238960140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 219022 + ... + 219501.

Almost surely, 2105245520 is an apocalyptic number.

105245520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105245520 is an abundant number, since it is smaller than the sum of its proper divisors (221016336).

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

105245520 is a wasteful number, since it uses less digits than its factorization.

105245520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438539 (or 438533 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105245520 is about 10258.9239201780. The cubic root of 105245520 is about 472.1368223472.

The spelling of 105245520 in words is "one hundred five million, two hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 438523 877046 1315569 1754092 2192615 2631138 3508184 4385230 5262276 6577845 7016368 8770460 10524552 13155690 17540920 21049104 26311380 35081840 52622760 105245520