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106001363 = 132627227
BaseRepresentation
bin1100101000101…
…11001111010011
321101110102112102
412110113033103
5204114020423
614303551015
72424665606
oct624271723
9241412472
10106001363
1154920436
122b5bb46b
1318c65300
141011433d
15948cc28
hex65173d3

106001363 has 6 divisors (see below), whose sum is σ = 114782724. Its totient is φ = 97847256.

The previous prime is 106001353. The next prime is 106001387. The reversal of 106001363 is 363100601.

It is not a de Polignac number, because 106001363 - 26 = 106001299 is a prime.

It is a super-2 number, since 2×1060013632 = 22472577915715538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106001353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313445 + ... + 313782.

It is an arithmetic number, because the mean of its divisors is an integer number (19130454).

Almost surely, 2106001363 is an apocalyptic number.

106001363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106001363 is a deficient number, since it is larger than the sum of its proper divisors (8781361).

106001363 is an equidigital number, since it uses as much as digits as its factorization.

106001363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627253 (or 627240 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 106001363 is about 10295.6963339057. The cubic root of 106001363 is about 473.2643775875.

Adding to 106001363 its reverse (363100601), we get a palindrome (469101964).

The spelling of 106001363 in words is "one hundred six million, one thousand, three hundred sixty-three".

Divisors: 1 13 169 627227 8153951 106001363