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105552422235 = 32513180431491
BaseRepresentation
bin110001001001101101…
…0100010010101011011
3101002110010111121122200
41202103122202111123
53212132410002420
6120253510421243
710424454533301
oct1422332422533
9332403447580
10105552422235
1140845655107
1218559361823
139c51c491a0
145174642271
152b2b911b90
hex18936a255b

105552422235 has 24 divisors (see below), whose sum is σ = 197031189264. Its totient is φ = 51964269120.

The previous prime is 105552422233. The next prime is 105552422237. The reversal of 105552422235 is 532224255501.

105552422235 is a `hidden beast` number, since 10 + 5 + 552 + 42 + 22 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (105552422233) and next prime (105552422237).

It is not a de Polignac number, because 105552422235 - 21 = 105552422233 is a prime.

It is a super-4 number, since 4×1055524222354 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105552422235.

It is not an unprimeable number, because it can be changed into a prime (105552422233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90215161 + ... + 90216330.

It is an arithmetic number, because the mean of its divisors is an integer number (8209632886).

Almost surely, 2105552422235 is an apocalyptic number.

105552422235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105552422235 is a deficient number, since it is larger than the sum of its proper divisors (91478767029).

105552422235 is a wasteful number, since it uses less digits than its factorization.

105552422235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180431515 (or 180431512 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 105552422235 its reverse (532224255501), we get a palindrome (637776677736).

The spelling of 105552422235 in words is "one hundred five billion, five hundred fifty-two million, four hundred twenty-two thousand, two hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 180431491 541294473 902157455 1623883419 2345609383 2706472365 7036828149 8119417095 11728046915 21110484447 35184140745 105552422235