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105542125 = 5313107607
BaseRepresentation
bin1100100101001…
…11000111101101
321100121002120121
412102213013231
5204004322000
614250044541
72421043663
oct622470755
9240532517
10105542125
11546373a7
122b419751
1318b34280
1410034c33
1593ebb1a
hex64a71ed

105542125 has 32 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 77083200.

The previous prime is 105542117. The next prime is 105542149. The reversal of 105542125 is 521245501.

It is not a de Polignac number, because 105542125 - 23 = 105542117 is a prime.

It is a super-2 number, since 2×1055421252 = 22278280299031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 105542125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173572 + ... + 174178.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2105542125 is an apocalyptic number.

It is an amenable number.

105542125 is a deficient number, since it is larger than the sum of its proper divisors (37868051).

105542125 is a wasteful number, since it uses less digits than its factorization.

105542125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 105542125 is about 10273.3697003466. The cubic root of 105542125 is about 472.5799347794.

Adding to 105542125 its reverse (521245501), we get a palindrome (626787626).

The spelling of 105542125 in words is "one hundred five million, five hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 107 125 325 535 607 1391 1625 2675 3035 6955 7891 13375 15175 34775 39455 64949 75875 173875 197275 324745 844337 986375 1623725 4221685 8118625 21108425 105542125