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105452253 = 337155009
BaseRepresentation
bin1100100100100…
…01001011011101
321100102112022000
412102101023131
5203443433003
614244112513
72420220654
oct622211335
9240375260
10105452253
1154585925
122b395739
1318b023aa
141001019b
1593d01a3
hex64912dd

105452253 has 16 divisors (see below), whose sum is σ = 158428800. Its totient is φ = 69310080.

The previous prime is 105452239. The next prime is 105452267. The reversal of 105452253 is 352254501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105452239) and next prime (105452267).

It is not a de Polignac number, because 105452253 - 29 = 105451741 is a prime.

It is a super-2 number, since 2×1054522532 = 22240355325552018, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105452213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25588 + ... + 29421.

It is an arithmetic number, because the mean of its divisors is an integer number (9901800).

Almost surely, 2105452253 is an apocalyptic number.

It is an amenable number.

105452253 is a deficient number, since it is larger than the sum of its proper divisors (52976547).

105452253 is an equidigital number, since it uses as much as digits as its factorization.

105452253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55089 (or 55083 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105452253 is about 10268.9947414535. The cubic root of 105452253 is about 472.4457584497.

The spelling of 105452253 in words is "one hundred five million, four hundred fifty-two thousand, two hundred fifty-three".

Divisors: 1 3 9 27 71 213 639 1917 55009 165027 495081 1485243 3905639 11716917 35150751 105452253