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106341752 = 231143157179
BaseRepresentation
bin1100101011010…
…10010101111000
321102002201110102
412111222111320
5204210414002
614315134532
72430614156
oct625522570
9242081412
10106341752
1155033150
122b744448
131905421a
14101a23d6
159508a02
hex656a578

106341752 has 64 divisors (see below), whose sum is σ = 225244800. Its totient is φ = 46650240.

The previous prime is 106341743. The next prime is 106341761. The reversal of 106341752 is 257143601.

It is an interprime number because it is at equal distance from previous prime (106341743) and next prime (106341761).

It is a super-2 number, since 2×1063417522 = 22617136436859008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593999 + ... + 594177.

It is an arithmetic number, because the mean of its divisors is an integer number (3519450).

Almost surely, 2106341752 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 106341752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112622400).

106341752 is an abundant number, since it is smaller than the sum of its proper divisors (118903048).

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

106341752 is a wasteful number, since it uses less digits than its factorization.

106341752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 106341752 is about 10312.2137293600. The cubic root of 106341752 is about 473.7704146702.

The spelling of 106341752 in words is "one hundred six million, three hundred forty-one thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 157 172 179 314 344 358 473 628 716 946 1256 1432 1727 1892 1969 3454 3784 3938 6751 6908 7697 7876 13502 13816 15394 15752 27004 28103 30788 54008 56206 61576 74261 84667 112412 148522 169334 224824 297044 309133 338668 594088 618266 677336 1208429 1236532 2416858 2473064 4833716 9667432 13292719 26585438 53170876 106341752