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106000296 = 23383127419
BaseRepresentation
bin1100101000101…
…10111110101000
321101110101001220
412110112332220
5204114002141
614303542040
72424662523
oct624267650
9241411056
10106000296
115491a656
122b5ba920
1318c6498c
1410113bba
15948c766
hex6516fa8

106000296 has 64 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 34550208.

The previous prime is 106000291. The next prime is 106000303. The reversal of 106000296 is 692000601.

It is a super-2 number, since 2×1060002962 = 22472125504175232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106000291) 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, 252775 + ... + 253193.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2106000296 is an apocalyptic number.

It is an amenable number.

106000296 is an abundant number, since it is smaller than the sum of its proper divisors (164950104).

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

106000296 is a wasteful number, since it uses less digits than its factorization.

106000296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106000296 is about 10295.6445160077. The cubic root of 106000296 is about 473.2627896369.

Adding to 106000296 its reverse (692000601), we get a palindrome (798000897).

The spelling of 106000296 in words is "one hundred six million, two hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 83 127 166 249 254 332 381 419 498 508 664 762 838 996 1016 1257 1524 1676 1992 2514 3048 3352 5028 10056 10541 21082 31623 34777 42164 53213 63246 69554 84328 104331 106426 126492 139108 159639 208662 212852 252984 278216 319278 417324 425704 638556 834648 1277112 4416679 8833358 13250037 17666716 26500074 35333432 53000148 106000296