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145236105 = 3357153689
BaseRepresentation
bin10001010100000…
…10000010001001
3101010021202111000
420222002002021
5244140023410
622224525213
73412325610
oct1052020211
9333252430
10145236105
1174a89043
1240780809
1324121731
1415408877
15cb3cdc0
hex8a82089

145236105 has 32 divisors (see below), whose sum is σ = 295084800. Its totient is φ = 66393216.

The previous prime is 145236103. The next prime is 145236149. The reversal of 145236105 is 501632541.

145236105 is a `hidden beast` number, since 1 + 45 + 2 + 3 + 610 + 5 = 666.

It is not a de Polignac number, because 145236105 - 21 = 145236103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (145236103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75900 + ... + 77789.

It is an arithmetic number, because the mean of its divisors is an integer number (9221400).

Almost surely, 2145236105 is an apocalyptic number.

145236105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145236105 is an abundant number, since it is smaller than the sum of its proper divisors (149848695).

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

145236105 is a wasteful number, since it uses less digits than its factorization.

145236105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153710 (or 153704 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145236105 is about 12051.3943176713. The cubic root of 145236105 is about 525.6437816681.

Adding to 145236105 its reverse (501632541), we get a palindrome (646868646).

The spelling of 145236105 in words is "one hundred forty-five million, two hundred thirty-six thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 153689 461067 768445 1075823 1383201 2305335 3227469 4149603 5379115 6916005 9682407 16137345 20748015 29047221 48412035 145236105