Search a number
-
+
105532335 = 335781721
BaseRepresentation
bin1100100101001…
…00101110101111
321100120121011000
412102210232233
5204004013320
614245531343
72421003306
oct622445657
9240517130
10105532335
1154630007
122b413b53
1318b2c98c
141003143d
1593e8c90
hex64a4baf

105532335 has 16 divisors (see below), whose sum is σ = 187613280. Its totient is φ = 56283840.

The previous prime is 105532331. The next prime is 105532337. The reversal of 105532335 is 533235501.

It is not a de Polignac number, because 105532335 - 22 = 105532331 is a prime.

It is a super-2 number, since 2×1055323352 = 22274147461104450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105532299 and 105532308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105532331) 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, 390726 + ... + 390995.

It is an arithmetic number, because the mean of its divisors is an integer number (11725830).

Almost surely, 2105532335 is an apocalyptic number.

105532335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105532335 is a deficient number, since it is larger than the sum of its proper divisors (82080945).

105532335 is an equidigital number, since it uses as much as digits as its factorization.

105532335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781735 (or 781729 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 105532335 is about 10272.8932146694. The cubic root of 105532335 is about 472.5653222866.

Adding to 105532335 its reverse (533235501), we get a palindrome (638767836).

The spelling of 105532335 in words is "one hundred five million, five hundred thirty-two thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 781721 2345163 3908605 7035489 11725815 21106467 35177445 105532335