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106037253 = 32729127457
BaseRepresentation
bin1100101001000…
…00000000000101
321101112020202200
412110200000011
5204121143003
614304425113
72425205340
oct624400005
9241466680
10106037253
11549453a3
122b618199
1318c7874a
1410123457
1594986a3
hex6520005

106037253 has 48 divisors (see below), whose sum is σ = 182906880. Its totient is φ = 57915648.

The previous prime is 106037251. The next prime is 106037257. The reversal of 106037253 is 352730601.

It is a happy number.

106037253 is a `hidden beast` number, since 1 + 0 + 603 + 7 + 2 + 53 = 666.

It is not a de Polignac number, because 106037253 - 21 = 106037251 is a prime.

It is a super-2 number, since 2×1060372532 = 22487798047572018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106037251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231801 + ... + 232257.

It is an arithmetic number, because the mean of its divisors is an integer number (3810560).

Almost surely, 2106037253 is an apocalyptic number.

It is an amenable number.

106037253 is a deficient number, since it is larger than the sum of its proper divisors (76869627).

106037253 is a wasteful number, since it uses less digits than its factorization.

106037253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 106037253 is about 10297.4391476716. The cubic root of 106037253 is about 473.3177842652.

Adding to 106037253 its reverse (352730601), we get a palindrome (458767854).

The spelling of 106037253 in words is "one hundred six million, thirty-seven thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 29 63 87 127 203 261 381 457 609 889 1143 1371 1827 2667 3199 3683 4113 8001 9597 11049 13253 25781 28791 33147 39759 58039 77343 92771 119277 174117 232029 278313 406273 522351 834939 1218819 1683131 3656457 5049393 11781917 15148179 35345751 106037253