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105132342 = 2372357593
BaseRepresentation
bin1100100010000…
…11000100110110
321022211021110110
412101003010312
5203403213332
614233203450
72414416200
oct621030466
9238737413
10105132342
1154387537
122b260586
1318a1c8b3
14dd69770
15936a4cc
hex6443136

105132342 has 24 divisors (see below), whose sum is σ = 244594296. Its totient is φ = 30037728.

The previous prime is 105132319. The next prime is 105132343. The reversal of 105132342 is 243231501.

It is a super-2 number, since 2×1051323422 = 22105618668809928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105132343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178503 + ... + 179090.

It is an arithmetic number, because the mean of its divisors is an integer number (10191429).

Almost surely, 2105132342 is an apocalyptic number.

105132342 is an abundant number, since it is smaller than the sum of its proper divisors (139461954).

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

105132342 is a wasteful number, since it uses less digits than its factorization.

105132342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357612 (or 357605 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105132342 is about 10253.4063608149. The cubic root of 105132342 is about 471.9675208667.

Adding to 105132342 its reverse (243231501), we get a palindrome (348363843).

The spelling of 105132342 in words is "one hundred five million, one hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 357593 715186 1072779 2145558 2503151 5006302 7509453 15018906 17522057 35044114 52566171 105132342