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105421760 = 2651719379
BaseRepresentation
bin1100100100010…
…01101111000000
321100100222110122
412102021233000
5203441444020
614243315412
72420033033
oct622115700
9240328418
10105421760
1154564a24
122b37bb68
1318ac1552
141000301a
1593c6125
hex6489bc0

105421760 has 56 divisors (see below), whose sum is σ = 265816080. Its totient is φ = 39686144.

The previous prime is 105421741. The next prime is 105421829. The reversal of 105421760 is 67124501.

It is a super-2 number, since 2×1054217602 = 22227494962995200, 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 7 ways as a sum of consecutive naturals, for example, 4250 + ... + 15129.

Almost surely, 2105421760 is an apocalyptic number.

105421760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105421760 is an abundant number, since it is smaller than the sum of its proper divisors (160394320).

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

105421760 is a wasteful number, since it uses less digits than its factorization.

105421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 105421760 is about 10267.5099220795. The cubic root of 105421760 is about 472.4002159509.

The spelling of 105421760 in words is "one hundred five million, four hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 19379 38758 77516 96895 155032 193790 310064 329443 387580 620128 658886 775160 1240256 1317772 1550320 1647215 2635544 3100640 3294430 5271088 6201280 6588860 10542176 13177720 21084352 26355440 52710880 105421760