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106645434 = 23723532083
BaseRepresentation
bin1100101101101…
…00011110111010
321102200011000220
412112310132322
5204300123214
614325440510
72433320430
oct626643672
9242604026
10106645434
1155220325
122b870136
131912c50c
1410240d50
1595689a9
hex65b47ba

106645434 has 64 divisors (see below), whose sum is σ = 259282944. Its totient is φ = 28581696.

The previous prime is 106645421. The next prime is 106645439. The reversal of 106645434 is 434546601.

It is a super-2 number, since 2×1066454342 = 22746497186096712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106645395 and 106645404.

It is not an unprimeable number, because it can be changed into a prime (106645439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50157 + ... + 52239.

It is an arithmetic number, because the mean of its divisors is an integer number (4051296).

Almost surely, 2106645434 is an apocalyptic number.

106645434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106645434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129641472).

106645434 is an abundant number, since it is smaller than the sum of its proper divisors (152637510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106645434 is a wasteful number, since it uses less digits than its factorization.

106645434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 106645434 is about 10326.9276166728. The cubic root of 106645434 is about 474.2209708730.

The spelling of 106645434 in words is "one hundred six million, six hundred forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 53 69 106 138 159 161 318 322 371 483 742 966 1113 1219 2083 2226 2438 3657 4166 6249 7314 8533 12498 14581 17066 25599 29162 43743 47909 51198 87486 95818 110399 143727 220798 287454 331197 335363 662394 670726 772793 1006089 1545586 2012178 2318379 2539177 4636758 5078354 7617531 15235062 17774239 35548478 53322717 106645434