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105434411493 = 3373833247811
BaseRepresentation
bin110001000110001100…
…0010111000111100101
3101002010220110001100110
41202030120113013211
53211412202131433
6120234053203233
710421522465535
oct1421430270745
9332126401313
10105434411493
1140794a81974
1218525930519
139c3366a848
145162ac34c5
152b213a0963
hex188c6171e5

105434411493 has 16 divisors (see below), whose sum is σ = 144416903616. Its totient is φ = 68371770240.

The previous prime is 105434411473. The next prime is 105434411513. The reversal of 105434411493 is 394114434501.

It is an interprime number because it is at equal distance from previous prime (105434411473) and next prime (105434411513).

It is not a de Polignac number, because 105434411493 - 29 = 105434410981 is a prime.

It is a super-2 number, since 2×1054344114932 (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 (105434411413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301558 + ... + 549368.

It is an arithmetic number, because the mean of its divisors is an integer number (9026056476).

Almost surely, 2105434411493 is an apocalyptic number.

It is an amenable number.

105434411493 is a deficient number, since it is larger than the sum of its proper divisors (38982492123).

105434411493 is a wasteful number, since it uses less digits than its factorization.

105434411493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251684.

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 105434411493 its reverse (394114434501), we get a palindrome (499548845994).

The spelling of 105434411493 in words is "one hundred five billion, four hundred thirty-four million, four hundred eleven thousand, four hundred ninety-three".

Divisors: 1 3 37 111 3833 11499 141821 247811 425463 743433 9169007 27507021 949859563 2849578689 35144803831 105434411493