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105527214 = 23213450971
BaseRepresentation
bin1100100101000…
…11011110101110
321100120100010100
412102203132232
5204003332324
614245451530
72420652342
oct622433656
9240510110
10105527214
1154627181
122b410ba6
1318b2a550
141002d622
1593e74c9
hex64a37ae

105527214 has 24 divisors (see below), whose sum is σ = 246230712. Its totient is φ = 32469840.

The previous prime is 105527183. The next prime is 105527239. The reversal of 105527214 is 412725501.

It is a super-2 number, since 2×1055272142 = 22271985789203592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225252 + ... + 225719.

It is an arithmetic number, because the mean of its divisors is an integer number (10259613).

Almost surely, 2105527214 is an apocalyptic number.

105527214 is an abundant number, since it is smaller than the sum of its proper divisors (140703498).

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

105527214 is a wasteful number, since it uses less digits than its factorization.

105527214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450992 (or 450989 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 105527214 is about 10272.6439634595. The cubic root of 105527214 is about 472.5576783540.

It can be divided in two parts, 10552 and 7214, that added together give a triangular number (17766 = T188).

The spelling of 105527214 in words is "one hundred five million, five hundred twenty-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 450971 901942 1352913 2705826 4058739 5862623 8117478 11725246 17587869 35175738 52763607 105527214