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105331552 = 2531106181
BaseRepresentation
bin1100100011100…
…11101101100000
321100012101201121
412101303231200
5203431102202
614241342024
72416206034
oct621635540
9240171647
10105331552
1154503177
122b337914
1318a8c481
14ddbc1c4
1593a9537
hex6473b60

105331552 has 24 divisors (see below), whose sum is σ = 214062912. Its totient is φ = 50966400.

The previous prime is 105331547. The next prime is 105331601. The reversal of 105331552 is 255133501.

It is a super-2 number, since 2×1053315522 = 22189471693457408, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 52099 + ... + 54082.

It is an arithmetic number, because the mean of its divisors is an integer number (8919288).

Almost surely, 2105331552 is an apocalyptic number.

It is an amenable number.

105331552 is an abundant number, since it is smaller than the sum of its proper divisors (108731360).

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

105331552 is a wasteful number, since it uses less digits than its factorization.

105331552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106222 (or 106214 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105331552 is about 10263.1160960013. The cubic root of 105331552 is about 472.2654353032.

The spelling of 105331552 in words is "one hundred five million, three hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 106181 212362 424724 849448 1698896 3291611 3397792 6583222 13166444 26332888 52665776 105331552