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106644608 = 277412903
BaseRepresentation
bin1100101101101…
…00010010000000
321102200002220022
412112310102000
5204300111413
614325433012
72433315140
oct626642200
9242602808
10106644608
115521a744
122b86b768
131912c025
1410240920
159568608
hex65b4480

106644608 has 64 divisors (see below), whose sum is σ = 248814720. Its totient is φ = 44574720.

The previous prime is 106644607. The next prime is 106644617. The reversal of 106644608 is 806446601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1066446082 = 22746144830947328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106644607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35285 + ... + 38187.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2106644608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106644608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

106644608 is an abundant number, since it is smaller than the sum of its proper divisors (142170112).

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

106644608 is an equidigital number, since it uses as much as digits as its factorization.

106644608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 106644608 is about 10326.8876240618. The cubic root of 106644608 is about 474.2197465433.

The spelling of 106644608 in words is "one hundred six million, six hundred forty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 2903 4592 5248 5806 9184 11612 18368 20321 23224 36736 40642 46448 81284 92896 119023 162568 185792 238046 325136 371584 476092 650272 833161 952184 1300544 1666322 1904368 2601088 3332644 3808736 6665288 7617472 13330576 15234944 26661152 53322304 106644608