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106624050 = 23521354679
BaseRepresentation
bin1100101101011…
…11010000110010
321102122001200220
412112233100302
5204243432200
614325153510
72433201201
oct626572062
9242561626
10106624050
1155206255
122b85b896
1319122870
1410237238
1595624a0
hex65af432

106624050 has 48 divisors (see below), whose sum is σ = 284773440. Its totient is φ = 26245440.

The previous prime is 106624043. The next prime is 106624061. The reversal of 106624050 is 50426601.

It is a super-2 number, since 2×1066240502 = 22737376076805000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106624050.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25390 + ... + 29289.

It is an arithmetic number, because the mean of its divisors is an integer number (5932780).

Almost surely, 2106624050 is an apocalyptic number.

106624050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106624050 is an abundant number, since it is smaller than the sum of its proper divisors (178149390).

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

106624050 is a wasteful number, since it uses less digits than its factorization.

106624050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54707 (or 54702 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106624050 is about 10325.8922132666. The cubic root of 106624050 is about 474.1892726286.

The spelling of 106624050 in words is "one hundred six million, six hundred twenty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 54679 109358 164037 273395 328074 546790 710827 820185 1366975 1421654 1640370 2132481 2733950 3554135 4100925 4264962 7108270 8201850 10662405 17770675 21324810 35541350 53312025 106624050