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105145604205 = 3547149142701
BaseRepresentation
bin110000111101100101…
…0101001100001101101
3101001101210000010020020
41201323022221201231
53210314233313310
6120145255112353
710411414614015
oct1417312514155
9331353003206
10105145604205
1140656a52764
12184650726b9
139bb888b465
1451365c4c45
152b05d53170
hex187b2a986d

105145604205 has 16 divisors (see below), whose sum is σ = 171812392704. Its totient is φ = 54884513600.

The previous prime is 105145604203. The next prime is 105145604237. The reversal of 105145604205 is 502406541501.

It is not a de Polignac number, because 105145604205 - 21 = 105145604203 is a prime.

It is a super-2 number, since 2×1051456042052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145604203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74570646 + ... + 74572055.

It is an arithmetic number, because the mean of its divisors is an integer number (10738274544).

Almost surely, 2105145604205 is an apocalyptic number.

105145604205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105145604205 is a deficient number, since it is larger than the sum of its proper divisors (66666788499).

105145604205 is a wasteful number, since it uses less digits than its factorization.

105145604205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149142756.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 105145604205 in words is "one hundred five billion, one hundred forty-five million, six hundred four thousand, two hundred five".

Divisors: 1 3 5 15 47 141 235 705 149142701 447428103 745713505 2237140515 7009706947 21029120841 35048534735 105145604205