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106577044 = 2274638221
BaseRepresentation
bin1100101101000…
…11110010010100
321102112200012221
412112203302110
5204240431134
614324152124
72432614150
oct626436224
9242480187
10106577044
1155183a02
122b838644
1319107352
1410224060
1595535b4
hex65a3c94

106577044 has 24 divisors (see below), whose sum is σ = 213640448. Its totient is φ = 45571680.

The previous prime is 106576997. The next prime is 106577071. The reversal of 106577044 is 440775601.

It is a happy number.

It is a super-2 number, since 2×1065770442 = 22717332615555872, 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 7 ways as a sum of consecutive naturals, for example, 8854 + ... + 17074.

Almost surely, 2106577044 is an apocalyptic number.

106577044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106577044 is an abundant number, since it is smaller than the sum of its proper divisors (107063404).

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

106577044 is a wasteful number, since it uses less digits than its factorization.

106577044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 106577044 is about 10323.6158394237. The cubic root of 106577044 is about 474.1195791048.

The spelling of 106577044 in words is "one hundred six million, five hundred seventy-seven thousand, forty-four".

Divisors: 1 2 4 7 14 28 463 926 1852 3241 6482 8221 12964 16442 32884 57547 115094 230188 3806323 7612646 15225292 26644261 53288522 106577044