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105156253 = 2361241311
BaseRepresentation
bin1100100010010…
…00111010011101
321022212111021001
412101020322131
5203410000003
614233510301
72414545666
oct621107235
9238774231
10105156253
11543a34a4
122b272391
1318a2a747
14dd7436d
15937261d
hex6448e9d

105156253 has 16 divisors (see below), whose sum is σ = 112349952. Its totient is φ = 98208000.

The previous prime is 105156217. The next prime is 105156277. The reversal of 105156253 is 352651501.

It is a cyclic number.

It is not a de Polignac number, because 105156253 - 213 = 105148061 is a prime.

It is a super-2 number, since 2×1051562532 = 22115675090000018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105153253) 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, 337968 + ... + 338278.

It is an arithmetic number, because the mean of its divisors is an integer number (7021872).

Almost surely, 2105156253 is an apocalyptic number.

It is an amenable number.

105156253 is a deficient number, since it is larger than the sum of its proper divisors (7193699).

105156253 is a wasteful number, since it uses less digits than its factorization.

105156253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105156253 is about 10254.5722972731. The cubic root of 105156253 is about 472.0032991367.

The spelling of 105156253 in words is "one hundred five million, one hundred fifty-six thousand, two hundred fifty-three".

Divisors: 1 23 61 241 311 1403 5543 7153 14701 18971 74951 338123 436333 1723873 4572011 105156253