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105135050 = 25259157227
BaseRepresentation
bin1100100010000…
…11101111001010
321022211102011202
412101003233022
5203403310200
614233224202
72414430116
oct621035712
9238742152
10105135050
1154389579
122b262062
1318a20bb7
14dd6a746
15936b1d5
hex6443bca

105135050 has 48 divisors (see below), whose sum is σ = 201013920. Its totient is φ = 40896960.

The previous prime is 105135031. The next prime is 105135053. The reversal of 105135050 is 50531501.

It is a happy number.

It is a super-2 number, since 2×1051350502 = 22106757477005000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105135053) 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 23 ways as a sum of consecutive naturals, for example, 463037 + ... + 463263.

It is an arithmetic number, because the mean of its divisors is an integer number (4187790).

Almost surely, 2105135050 is an apocalyptic number.

105135050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105135050 is a deficient number, since it is larger than the sum of its proper divisors (95878870).

105135050 is a wasteful number, since it uses less digits than its factorization.

105135050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 105135050 is about 10253.5384136404. The cubic root of 105135050 is about 471.9715731467.

Adding to 105135050 its reverse (50531501), we get a palindrome (155666551).

The spelling of 105135050 in words is "one hundred five million, one hundred thirty-five thousand, fifty".

Divisors: 1 2 5 10 25 50 59 118 157 227 295 314 454 590 785 1135 1475 1570 2270 2950 3925 5675 7850 9263 11350 13393 18526 26786 35639 46315 66965 71278 92630 133930 178195 231575 334825 356390 463150 669650 890975 1781950 2102701 4205402 10513505 21027010 52567525 105135050