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105237793 = 811129763
BaseRepresentation
bin1100100010111…
…00110100100001
321100000122010001
412101130310201
5203420102133
614235340001
72415335503
oct621346441
9240018101
10105237793
1154449791
122b2b1601
1318a588ab
14dd95d73
15938b87d
hex645cd21

105237793 has 4 divisors (see below), whose sum is σ = 105368368. Its totient is φ = 105107220.

The previous prime is 105237787. The next prime is 105237829. The reversal of 105237793 is 397732501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 397732501 = 607655243.

It is a cyclic number.

It is not a de Polignac number, because 105237793 - 25 = 105237761 is a prime.

It is a super-2 number, since 2×1052377932 = 22149986151021698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105237733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64071 + ... + 65692.

It is an arithmetic number, because the mean of its divisors is an integer number (26342092).

Almost surely, 2105237793 is an apocalyptic number.

It is an amenable number.

105237793 is a deficient number, since it is larger than the sum of its proper divisors (130575).

105237793 is an equidigital number, since it uses as much as digits as its factorization.

105237793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130574.

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 105237793 is about 10258.5473143131. The cubic root of 105237793 is about 472.1252674911.

It can be divided in two parts, 105237 and 793, that added together give a triangular number (106030 = T460).

The spelling of 105237793 in words is "one hundred five million, two hundred thirty-seven thousand, seven hundred ninety-three".

Divisors: 1 811 129763 105237793