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105253773 = 3233149207
BaseRepresentation
bin1100100011000…
…00101110001101
321100001110000220
412101200232031
5203421110043
614235541553
72415433212
oct621405615
9240043026
10105253773
115445a799
122b2ba8b9
1318a62c51
14dd9bb09
159391483
hex6460b8d

105253773 has 16 divisors (see below), whose sum is σ = 151166976. Its totient is φ = 64951920.

The previous prime is 105253769. The next prime is 105253777. The reversal of 105253773 is 377352501.

It is an interprime number because it is at equal distance from previous prime (105253769) and next prime (105253777).

It is not a de Polignac number, because 105253773 - 22 = 105253769 is a prime.

It is a super-2 number, since 2×1052537732 = 22156713461471058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105253777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22465 + ... + 26742.

It is an arithmetic number, because the mean of its divisors is an integer number (9447936).

Almost surely, 2105253773 is an apocalyptic number.

It is an amenable number.

105253773 is a deficient number, since it is larger than the sum of its proper divisors (45913203).

105253773 is a wasteful number, since it uses less digits than its factorization.

105253773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49264.

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 105253773 is about 10259.3261474621. The cubic root of 105253773 is about 472.1491631523.

The spelling of 105253773 in words is "one hundred five million, two hundred fifty-three thousand, seven hundred seventy-three".

Divisors: 1 3 23 31 69 93 713 2139 49207 147621 1131761 1525417 3395283 4576251 35084591 105253773