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105135198 = 2373180749
BaseRepresentation
bin1100100010000…
…11110001011110
321022211102101020
412101003301132
5203403311243
614233225010
72414430420
oct621036136
9238742336
10105135198
11543896a3
122b262166
1318a20c9c
14dd6a810
15936b283
hex6443c5e

105135198 has 32 divisors (see below), whose sum is σ = 248064000. Its totient is φ = 29069280.

The previous prime is 105135169. The next prime is 105135221. The reversal of 105135198 is 891531501.

It is a super-2 number, since 2×1051351982 = 22106819716998408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 39073 + ... + 41676.

It is an arithmetic number, because the mean of its divisors is an integer number (7752000).

Almost surely, 2105135198 is an apocalyptic number.

105135198 is an abundant number, since it is smaller than the sum of its proper divisors (142928802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105135198 is a wasteful number, since it uses less digits than its factorization.

105135198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80792.

The product of its (nonzero) digits is 5400, while the sum is 33.

The square root of 105135198 is about 10253.5456306587. The cubic root of 105135198 is about 471.9717946135.

Adding to 105135198 its reverse (891531501), we get a palindrome (996666699).

The spelling of 105135198 in words is "one hundred five million, one hundred thirty-five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 80749 161498 242247 484494 565243 1130486 1695729 2503219 3391458 5006438 7509657 15019314 17522533 35045066 52567599 105135198