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106009944 = 23323192047
BaseRepresentation
bin1100101000110…
…01010101011000
321101110212022020
412110121111120
5204114304234
614304054440
72425032615
oct624312530
9241425266
10106009944
1154926927
122b604420
1318c691a1
141011750c
159490549
hex6519558

106009944 has 32 divisors (see below), whose sum is σ = 276549120. Its totient is φ = 33800096.

The previous prime is 106009931. The next prime is 106009951. The reversal of 106009944 is 449900601.

It is a super-2 number, since 2×1060099442 = 22476216453766272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95472 + ... + 96575.

It is an arithmetic number, because the mean of its divisors is an integer number (8642160).

Almost surely, 2106009944 is an apocalyptic number.

It is an amenable number.

106009944 is an abundant number, since it is smaller than the sum of its proper divisors (170539176).

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

106009944 is a wasteful number, since it uses less digits than its factorization.

106009944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192079 (or 192075 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106009944 is about 10296.1130529924. The cubic root of 106009944 is about 473.2771477756.

It can be divided in two parts, 106009 and 944, that added together give a triangular number (106953 = T462).

The spelling of 106009944 in words is "one hundred six million, nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 192047 384094 576141 768188 1152282 1536376 2304564 4417081 4609128 8834162 13251243 17668324 26502486 35336648 53004972 106009944