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106015349 = 1117231572
BaseRepresentation
bin1100101000110…
…10101001110101
321101111010201102
412110122221311
5204114442344
614304135445
72425054436
oct624325165
9241433642
10106015349
115492a9a0
122b607585
1318c6b79b
141011948d
159491e4e
hex651aa75

106015349 has 24 divisors (see below), whose sum is σ = 128599488. Its totient is φ = 86211840.

The previous prime is 106015333. The next prime is 106015361. The reversal of 106015349 is 943510601.

It is not a de Polignac number, because 106015349 - 24 = 106015333 is a prime.

It is a super-2 number, since 2×1060153492 = 22478508447183602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106015309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675179 + ... + 675335.

It is an arithmetic number, because the mean of its divisors is an integer number (5358312).

Almost surely, 2106015349 is an apocalyptic number.

It is an amenable number.

106015349 is a deficient number, since it is larger than the sum of its proper divisors (22584139).

106015349 is a wasteful number, since it uses less digits than its factorization.

106015349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 106015349 is about 10296.3755273397. The cubic root of 106015349 is about 473.2851911076.

The spelling of 106015349 in words is "one hundred six million, fifteen thousand, three hundred forty-nine".

Divisors: 1 11 17 23 157 187 253 391 1727 2669 3611 4301 24649 29359 39721 61387 271139 419033 566927 675257 4609363 6236197 9637759 106015349