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105056050 = 25211251761
BaseRepresentation
bin1100100001100…
…00011100110010
321022200101210211
412100300130302
5203343243200
614231414334
72413650601
oct620603462
9238611724
10105056050
1154335190
122b2243aa
13189c3c58
14dd49a38
159352aba
hex6430732

105056050 has 48 divisors (see below), whose sum is σ = 214298784. Its totient is φ = 38000000.

The previous prime is 105056047. The next prime is 105056069. The reversal of 105056050 is 50650501.

It is a super-2 number, since 2×1050560502 = 22073547283205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 137670 + ... + 138430.

It is an arithmetic number, because the mean of its divisors is an integer number (4464558).

Almost surely, 2105056050 is an apocalyptic number.

105056050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105056050 is an abundant number, since it is smaller than the sum of its proper divisors (109242734).

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

105056050 is a wasteful number, since it uses less digits than its factorization.

105056050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105056050 is about 10249.6853610245. The cubic root of 105056050 is about 471.8533280984.

The spelling of 105056050 in words is "one hundred five million, fifty-six thousand, fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 251 275 502 550 761 1255 1522 2510 2761 3805 5522 6275 7610 8371 12550 13805 16742 19025 27610 38050 41855 69025 83710 138050 191011 209275 382022 418550 955055 1910110 2101121 4202242 4775275 9550550 10505605 21011210 52528025 105056050