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107844102 = 23323312801
BaseRepresentation
bin1100110110110…
…01001000000110
321111221001022000
412123121020012
5210102002402
614411250130
72446442202
oct633311006
9244831260
10107844102
1155969963
1230149946
131945bca2
1410473b02
159703c1c
hex66d9206

107844102 has 64 divisors (see below), whose sum is σ = 258232320. Its totient is φ = 33264000.

The previous prime is 107844089. The next prime is 107844109. The reversal of 107844102 is 201448701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107844109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37102 + ... + 39902.

It is an arithmetic number, because the mean of its divisors is an integer number (4034880).

Almost surely, 2107844102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107844102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129116160).

107844102 is an abundant number, since it is smaller than the sum of its proper divisors (150388218).

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

107844102 is a wasteful number, since it uses less digits than its factorization.

107844102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107844102 is about 10384.8014906401. The cubic root of 107844102 is about 475.9910639049.

The spelling of 107844102 in words is "one hundred seven million, eight hundred forty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 837 1242 1426 1674 2139 2801 4278 5602 6417 8403 12834 16806 19251 25209 38502 50418 64423 75627 86831 128846 151254 173662 193269 260493 386538 520986 579807 781479 1159614 1562958 1739421 1997113 2344437 3478842 3994226 4688874 5991339 11982678 17974017 35948034 53922051 107844102