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105420575 = 5213547593
BaseRepresentation
bin1100100100010…
…01011100011111
321100100220211202
412102021130133
5203441424300
614243310115
72420026421
oct622113437
9240326752
10105420575
1154564047
122b37b33b
1318ac0b50
1410002811
1593c5ad5
hex648971f

105420575 has 24 divisors (see below), whose sum is σ = 141272208. Its totient is φ = 77575680.

The previous prime is 105420559. The next prime is 105420583. The reversal of 105420575 is 575024501.

It is not a de Polignac number, because 105420575 - 24 = 105420559 is a prime.

It is a super-2 number, since 2×1054205752 = 22226995266661250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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, 177479 + ... + 178071.

It is an arithmetic number, because the mean of its divisors is an integer number (5886342).

Almost surely, 2105420575 is an apocalyptic number.

105420575 is a deficient number, since it is larger than the sum of its proper divisors (35851633).

105420575 is a wasteful number, since it uses less digits than its factorization.

105420575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 105420575 is about 10267.4522156180. The cubic root of 105420575 is about 472.3984459294.

The spelling of 105420575 in words is "one hundred five million, four hundred twenty thousand, five hundred seventy-five".

Divisors: 1 5 13 25 65 325 547 593 2735 2965 7111 7709 13675 14825 35555 38545 177775 192725 324371 1621855 4216823 8109275 21084115 105420575