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105050140 = 225131723767
BaseRepresentation
bin1100100001011…
…11000000011100
321022200002200221
412100233000130
5203343101030
614231331124
72413624426
oct620570034
9238602627
10105050140
11543307a8
122b220aa4
13189c1360
14dd47816
159350e7a
hex642f01c

105050140 has 48 divisors (see below), whose sum is σ = 251560512. Its totient is φ = 36504576.

The previous prime is 105050137. The next prime is 105050219. The reversal of 105050140 is 41050501.

It is a happy number.

It is a super-2 number, since 2×1050501402 = 22071063828039200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7464 + ... + 16303.

It is an arithmetic number, because the mean of its divisors is an integer number (5240844).

Almost surely, 2105050140 is an apocalyptic number.

105050140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105050140 is an abundant number, since it is smaller than the sum of its proper divisors (146510372).

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

105050140 is a wasteful number, since it uses less digits than its factorization.

105050140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23806 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105050140 is about 10249.3970554370. The cubic root of 105050140 is about 471.8444797885.

The spelling of 105050140 in words is "one hundred five million, fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 23767 47534 95068 118835 237670 308971 404039 475340 617942 808078 1235884 1544855 1616156 2020195 3089710 4040390 5252507 6179420 8080780 10505014 21010028 26262535 52525070 105050140