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105550000 = 24552111
BaseRepresentation
bin1100100101010…
…01000010110000
321100121111101021
412102221002300
5204010100000
614250145224
72421105643
oct622510260
9240544337
10105550000
1154642306
122b422214
1318b37a2a
1410037a5a
1593ee11a
hex64a90b0

105550000 has 60 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 42200000.

The previous prime is 105549989. The next prime is 105550037. The reversal of 105550000 is 55501.

It is a super-2 number, since 2×1055500002 = 22281605000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48945 + ... + 51055.

Almost surely, 2105550000 is an apocalyptic number.

105550000 is a gapful number since it is divisible by the number (10) 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 105550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

105550000 is an abundant number, since it is smaller than the sum of its proper divisors (150183632).

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

105550000 is an frugal number, since it uses more digits than its factorization.

105550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 105550000 is about 10273.7529656888. The cubic root of 105550000 is about 472.5916882994.

The spelling of 105550000 in words is "one hundred five million, five hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2111 2500 3125 4222 5000 6250 8444 10000 10555 12500 16888 21110 25000 33776 42220 50000 52775 84440 105550 168880 211100 263875 422200 527750 844400 1055500 1319375 2111000 2638750 4222000 5277500 6596875 10555000 13193750 21110000 26387500 52775000 105550000