Search a number
-
+
105554253 = 37191371931
BaseRepresentation
bin1100100101010…
…10000101001101
321100121201012210
412102222011031
5204010214003
614250221033
72421124230
oct622520515
9240551183
10105554253
1154645522
122b424779
1318b3994c
1410039417
159400503
hex64aa14d

105554253 has 32 divisors (see below), whose sum is σ = 170634240. Its totient is φ = 56695680.

The previous prime is 105554243. The next prime is 105554263. The reversal of 105554253 is 352455501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105554243) and next prime (105554263).

It is not a de Polignac number, because 105554253 - 25 = 105554221 is a prime.

It is a super-2 number, since 2×1055542532 = 22283400652776018, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105554253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105554243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53698 + ... + 55628.

It is an arithmetic number, because the mean of its divisors is an integer number (5332320).

Almost surely, 2105554253 is an apocalyptic number.

It is an amenable number.

105554253 is a deficient number, since it is larger than the sum of its proper divisors (65079987).

105554253 is a wasteful number, since it uses less digits than its factorization.

105554253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097.

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 105554253 is about 10273.9599473621. The cubic root of 105554253 is about 472.5980357033.

The spelling of 105554253 in words is "one hundred five million, five hundred fifty-four thousand, two hundred fifty-three".

Divisors: 1 3 7 19 21 57 133 137 399 411 959 1931 2603 2877 5793 7809 13517 18221 36689 40551 54663 110067 256823 264547 770469 793641 1851829 5026393 5555487 15079179 35184751 105554253