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106624404 = 22337912497
BaseRepresentation
bin1100101101011…
…11010110010100
321102122002012000
412112233112110
5204243440104
614325155300
72433202215
oct626572624
9242562160
10106624404
1155206547
122b85bb30
1319122a83
141023740c
159562639
hex65af594

106624404 has 48 divisors (see below), whose sum is σ = 279955200. Its totient is φ = 35088768.

The previous prime is 106624381. The next prime is 106624411. The reversal of 106624404 is 404426601.

It is a super-2 number, since 2×1066244042 = 22737527056710432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2284 + ... + 14780.

It is an arithmetic number, because the mean of its divisors is an integer number (5832400).

Almost surely, 2106624404 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 106624404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139977600).

106624404 is an abundant number, since it is smaller than the sum of its proper divisors (173330796).

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

106624404 is a wasteful number, since it uses less digits than its factorization.

106624404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106624404 is about 10325.9093546283. The cubic root of 106624404 is about 474.1897974096.

The spelling of 106624404 in words is "one hundred six million, six hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 8532 12497 24994 37491 49988 74982 112473 149964 224946 337419 449892 674838 987263 1349676 1974526 2961789 3949052 5923578 8885367 11847156 17770734 26656101 35541468 53312202 106624404