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106245552 = 24371811747
BaseRepresentation
bin1100101010100…
…10110110110000
321101220211111110
412111102312300
5204144324202
614313113320
72430033540
oct625226660
9241824443
10106245552
1154a77946
122b6b8840
131901c4ba
1410179320
1594da26c
hex6552db0

106245552 has 80 divisors (see below), whose sum is σ = 315590912. Its totient is φ = 30170880.

The previous prime is 106245541. The next prime is 106245569. The reversal of 106245552 is 255542601.

It is a super-2 number, since 2×1062455522 = 22576234639569408, which contains 22 as substring.

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, 59943 + ... + 61689.

Almost surely, 2106245552 is an apocalyptic number.

106245552 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 106245552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157795456).

106245552 is an abundant number, since it is smaller than the sum of its proper divisors (209345360).

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

106245552 is a wasteful number, since it uses less digits than its factorization.

106245552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 106245552 is about 10307.5483020940. The cubic root of 106245552 is about 473.6275091688.

The spelling of 106245552 in words is "one hundred six million, two hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 543 724 1086 1267 1448 1747 2172 2534 2896 3494 3801 4344 5068 5241 6988 7602 8688 10136 10482 12229 13976 15204 20272 20964 24458 27952 30408 36687 41928 48916 60816 73374 83856 97832 146748 195664 293496 316207 586992 632414 948621 1264828 1897242 2213449 2529656 3794484 4426898 5059312 6640347 7588968 8853796 13280694 15177936 17707592 26561388 35415184 53122776 106245552