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106504431 = 3118936263
BaseRepresentation
bin1100101100100…
…10000011101111
321102101222121120
412112102003233
5204231120211
614322432023
72432162355
oct626220357
9242358546
10106504431
11551343a0
122b802613
13190b0297
14102057d5
15953bd06
hex65920ef

106504431 has 16 divisors (see below), whose sum is σ = 156660480. Its totient is φ = 63821120.

The previous prime is 106504427. The next prime is 106504451. The reversal of 106504431 is 134405601.

It is not a de Polignac number, because 106504431 - 22 = 106504427 is a prime.

It is a super-2 number, since 2×1065044312 = 22686387645267522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106504451) 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, 15195 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (9791280).

Almost surely, 2106504431 is an apocalyptic number.

106504431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106504431 is a deficient number, since it is larger than the sum of its proper divisors (50156049).

106504431 is a wasteful number, since it uses less digits than its factorization.

106504431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36366.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106504431 is about 10320.0984006937. The cubic root of 106504431 is about 474.0118790307.

The spelling of 106504431 in words is "one hundred six million, five hundred four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 89 267 979 2937 36263 108789 398893 1196679 3227407 9682221 35501477 106504431