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106147415 = 5112383911
BaseRepresentation
bin1100101001110…
…10111001010111
321101201211212202
412110322321113
5204133204130
614311035115
72426144453
oct624727127
9241654782
10106147415
1154a10140
122b66ba9b
1318cb692a
1410151663
1594bb145
hex653ae57

106147415 has 16 divisors (see below), whose sum is σ = 144999936. Its totient is φ = 73840800.

The previous prime is 106147409. The next prime is 106147423. The reversal of 106147415 is 514741601.

It is not a de Polignac number, because 106147415 - 26 = 106147351 is a prime.

It is a super-3 number, since 3×1061474153 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40691 + ... + 43220.

It is an arithmetic number, because the mean of its divisors is an integer number (9062496).

Almost surely, 2106147415 is an apocalyptic number.

106147415 is a deficient number, since it is larger than the sum of its proper divisors (38852521).

106147415 is a wasteful number, since it uses less digits than its factorization.

106147415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83950.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 106147415 is about 10302.7867589308. The cubic root of 106147415 is about 473.4816373327.

The spelling of 106147415 in words is "one hundred six million, one hundred forty-seven thousand, four hundred fifteen".

Divisors: 1 5 11 23 55 115 253 1265 83911 419555 923021 1929953 4615105 9649765 21229483 106147415