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106371892 = 221137223293
BaseRepresentation
bin1100101011100…
…01101100110100
321102011020210201
412111301230310
5204212400032
614315530244
72431101064
oct625615464
9242136721
10106371892
1155053860
122b759984
1319064b63
14101ad3a4
1595128e7
hex6571b34

106371892 has 48 divisors (see below), whose sum is σ = 210212352. Its totient is φ = 46673280.

The previous prime is 106371883. The next prime is 106371893. The reversal of 106371892 is 298173601.

It is a super-2 number, since 2×1063718922 = 22629958815319328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106371893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362898 + ... + 363190.

It is an arithmetic number, because the mean of its divisors is an integer number (4379424).

Almost surely, 2106371892 is an apocalyptic number.

It is an amenable number.

106371892 is a deficient number, since it is larger than the sum of its proper divisors (103840460).

106371892 is a wasteful number, since it uses less digits than its factorization.

106371892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 106371892 is about 10313.6749997273. The cubic root of 106371892 is about 473.8151700342.

The spelling of 106371892 in words is "one hundred six million, three hundred seventy-one thousand, eight hundred ninety-two".

Divisors: 1 2 4 11 22 37 44 74 148 223 293 407 446 586 814 892 1172 1628 2453 3223 4906 6446 8251 9812 10841 12892 16502 21682 33004 43364 65339 90761 119251 130678 181522 238502 261356 363044 477004 718729 1437458 2417543 2874916 4835086 9670172 26592973 53185946 106371892