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103405454145 = 3457227160681
BaseRepresentation
bin110000001001101110…
…0100000001101000001
3100212220111121100010000
41200103130200031001
53143233244013040
6115300453430213
710320324600150
oct1402334401501
9325814540100
10103405454145
113a943757214
121805a33b369
13999c1c4c76
14500d44b597
152a531bd130
hex1813720341

103405454145 has 80 divisors (see below), whose sum is σ = 212778960768. Its totient is φ = 47062529280.

The previous prime is 103405454093. The next prime is 103405454147. The reversal of 103405454145 is 541454504301.

103405454145 is a `hidden beast` number, since 1 + 0 + 34 + 0 + 545 + 41 + 45 = 666.

It is not a de Polignac number, because 103405454145 - 29 = 103405453633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103405454147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 563205 + ... + 723885.

Almost surely, 2103405454145 is an apocalyptic number.

103405454145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103405454145 is an abundant number, since it is smaller than the sum of its proper divisors (109373506623).

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

103405454145 is a wasteful number, since it uses less digits than its factorization.

103405454145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160932 (or 160923 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 103405454145 its reverse (541454504301), we get a palindrome (644859958446).

The spelling of 103405454145 in words is "one hundred three billion, four hundred five million, four hundred fifty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 227 315 405 567 681 945 1135 1589 2043 2835 3405 4767 6129 7945 10215 14301 18387 23835 30645 42903 71505 91935 128709 160681 214515 482043 643545 803405 1124767 1446129 2410215 3374301 4338387 5623835 7230645 10122903 13015161 16871505 21691935 30368709 36474587 50614515 65075805 91106127 109423761 151843545 182372935 255322109 328271283 455530635 547118805 765966327 984813849 1276610545 1641356415 2297898981 2954441547 3829831635 4924069245 6893696943 11489494905 14772207735 20681090829 34468484715 103405454145