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106744204 = 22719283709
BaseRepresentation
bin1100101110011…
…00100110001100
321102212011112001
412113030212030
5204311303304
614331522044
72434211410
oct627144614
9242764461
10106744204
1155288556
122b8b9324
1319165468
1410268d40
159587da4
hex65cc98c

106744204 has 48 divisors (see below), whose sum is σ = 225836800. Its totient is φ = 43125696.

The previous prime is 106744193. The next prime is 106744243. The reversal of 106744204 is 402447601.

It is a super-2 number, since 2×1067442042 = 22788650175187232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150202 + ... + 150910.

Almost surely, 2106744204 is an apocalyptic number.

106744204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106744204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112918400).

106744204 is an abundant number, since it is smaller than the sum of its proper divisors (119092596).

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

106744204 is a wasteful number, since it uses less digits than its factorization.

106744204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 106744204 is about 10331.7086679794. The cubic root of 106744204 is about 474.3673261083.

It can be divided in two parts, 10674 and 4204, that added together give a triangular number (14878 = T172).

The spelling of 106744204 in words is "one hundred six million, seven hundred forty-four thousand, two hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 283 532 566 709 1132 1418 1981 2836 3962 4963 5377 7924 9926 10754 13471 19852 21508 26942 37639 53884 75278 94297 150556 188594 200647 377188 401294 802588 1404529 2809058 3812293 5618116 7624586 15249172 26686051 53372102 106744204