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106260984 = 2335471163
BaseRepresentation
bin1100101010101…
…10100111111000
321101221121200000
412111112213320
5204200322414
614313313000
72430126534
oct625264770
9241847600
10106260984
1154a884a5
122b705760
131902652b
1410180bc4
1594deb09
hex65569f8

106260984 has 96 divisors (see below), whose sum is σ = 305061120. Its totient is φ = 34636896.

The previous prime is 106260983. The next prime is 106261009. The reversal of 106260984 is 489062601.

It is a super-2 number, since 2×1062609842 = 22582793441296512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106260983) 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, 90787 + ... + 91949.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2106260984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106260984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152530560).

106260984 is an abundant number, since it is smaller than the sum of its proper divisors (198800136).

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

106260984 is a wasteful number, since it uses less digits than its factorization.

106260984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106260984 is about 10308.2968525358. The cubic root of 106260984 is about 473.6504392766.

The spelling of 106260984 in words is "one hundred six million, two hundred sixty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 846 972 1128 1163 1269 1692 1944 2326 2538 3384 3489 3807 4652 5076 6978 7614 9304 10152 10467 11421 13956 15228 20934 22842 27912 30456 31401 41868 45684 54661 62802 83736 91368 94203 109322 125604 163983 188406 218644 251208 282609 327966 376812 437288 491949 565218 655932 753624 983898 1130436 1311864 1475847 1967796 2260872 2951694 3935592 4427541 5903388 8855082 11806776 13282623 17710164 26565246 35420328 53130492 106260984