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105401516154 = 2311313216301
BaseRepresentation
bin110001000101001101…
…0111000000001111010
3101002001121112210102120
41202022122320001322
53211330242004104
6120230520142110
710420643051004
oct1421232700172
9332047483376
10105401516154
1140778454140
1218516907936
139c298c0a4c
14515c59d374
152b1d553cd9
hex188a6b807a

105401516154 has 48 divisors (see below), whose sum is σ = 230718163104. Its totient is φ = 31835856000.

The previous prime is 105401516137. The next prime is 105401516159. The reversal of 105401516154 is 451615104501.

It is a super-2 number, since 2×1054015161542 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105401516159) 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, 6457804 + ... + 6474104.

It is an arithmetic number, because the mean of its divisors is an integer number (4806628398).

Almost surely, 2105401516154 is an apocalyptic number.

105401516154 is an abundant number, since it is smaller than the sum of its proper divisors (125316646950).

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

105401516154 is a wasteful number, since it uses less digits than its factorization.

105401516154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16943 (or 16630 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 105401516154 in words is "one hundred five billion, four hundred one million, five hundred sixteen thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 313 626 939 1878 3443 6886 10329 16301 20658 32602 48903 97806 97969 179311 195938 293907 358622 537933 587814 1075866 1077659 2155318 3232977 5102213 6465954 10204426 15306639 30613278 56124343 112248686 168373029 336746058 1596992669 3193985338 4790978007 9581956014 17566919359 35133838718 52700758077 105401516154