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105443325144 = 23321464490627
BaseRepresentation
bin110001000110011101…
…0010111010011011000
3101002011112012220120200
41202030322113103120
53211421442401034
6120235012222200
710421661322053
oct1421472272330
9332145186520
10105443325144
114079a00a923
121852890a960
139c3546bab1
145163d63a9a
152b22061a99
hex188ce974d8

105443325144 has 24 divisors (see below), whose sum is σ = 285575672460. Its totient is φ = 35147775024.

The previous prime is 105443325139. The next prime is 105443325151. The reversal of 105443325144 is 441523344501.

105443325144 is a `hidden beast` number, since 10 + 54 + 433 + 25 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1054433251442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105443325099 and 105443325108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732245242 + ... + 732245385.

Almost surely, 2105443325144 is an apocalyptic number.

It is an amenable number.

105443325144 is an abundant number, since it is smaller than the sum of its proper divisors (180132347316).

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

105443325144 is a wasteful number, since it uses less digits than its factorization.

105443325144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464490639 (or 1464490632 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 105443325144 its reverse (441523344501), we get a palindrome (546966669645).

The spelling of 105443325144 in words is "one hundred five billion, four hundred forty-three million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1464490627 2928981254 4393471881 5857962508 8786943762 11715925016 13180415643 17573887524 26360831286 35147775048 52721662572 105443325144