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106042444 = 22293137797
BaseRepresentation
bin1100101001000…
…01010001001100
321101112111212221
412110201101030
5204121324234
614304505124
72425226434
oct624412114
9241474787
10106042444
1154949292
122b61b1a4
1318c7ac11
14101252c4
159499eb4
hex652144c

106042444 has 48 divisors (see below), whose sum is σ = 203777280. Its totient is φ = 48142080.

The previous prime is 106042427. The next prime is 106042451. The reversal of 106042444 is 444240601.

It is a super-4 number, since 4×1060424444 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 132654 + ... + 133450.

It is an arithmetic number, because the mean of its divisors is an integer number (4245360).

Almost surely, 2106042444 is an apocalyptic number.

It is an amenable number.

106042444 is a deficient number, since it is larger than the sum of its proper divisors (97734836).

106042444 is a wasteful number, since it uses less digits than its factorization.

106042444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 106042444 is about 10297.6911975452. The cubic root of 106042444 is about 473.3255078166.

The spelling of 106042444 in words is "one hundred six million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 29 31 37 58 62 74 116 124 148 797 899 1073 1147 1594 1798 2146 2294 3188 3596 4292 4588 23113 24707 29489 33263 46226 49414 58978 66526 92452 98828 117956 133052 716503 855181 914159 1433006 1710362 1828318 2866012 3420724 3656636 26510611 53021222 106042444