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106744572 = 2232111092473
BaseRepresentation
bin1100101110011…
…00101011111100
321102212012000200
412113030223330
5204311311242
614331523500
72434212444
oct627145374
9242765020
10106744572
1155288860
122b8b9590
131916568c
1410269124
15958804c
hex65ccafc

106744572 has 72 divisors (see below), whose sum is σ = 297176880. Its totient is φ = 32037120.

The previous prime is 106744549. The next prime is 106744579. The reversal of 106744572 is 275447601.

106744572 is a `hidden beast` number, since 10 + 6 + 74 + 4 + 572 = 666.

It is a super-2 number, since 2×1067445722 = 22788807302926368, 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 (106744579) 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, 41928 + ... + 44400.

Almost surely, 2106744572 is an apocalyptic number.

106744572 is a gapful number since it is divisible by the number (12) 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 106744572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148588440).

106744572 is an abundant number, since it is smaller than the sum of its proper divisors (190432308).

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

106744572 is a wasteful number, since it uses less digits than its factorization.

106744572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 106744572 is about 10331.7264772157. The cubic root of 106744572 is about 474.3678712339.

The spelling of 106744572 in words is "one hundred six million, seven hundred forty-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 218 327 396 436 654 981 1199 1308 1962 2398 2473 3597 3924 4796 4946 7194 7419 9892 10791 14388 14838 21582 22257 27203 29676 43164 44514 54406 81609 89028 108812 163218 244827 269557 326436 489654 539114 808671 979308 1078228 1617342 2426013 2965127 3234684 4852026 5930254 8895381 9704052 11860508 17790762 26686143 35581524 53372286 106744572