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105354024 = 23319722283
BaseRepresentation
bin1100100011110…
…01001100101000
321100020112112220
412101321030220
5203432312044
614242034040
72416331406
oct621711450
9240215486
10105354024
1154519046
122b348920
1318a99779
14ddc6476
1593b1019
hex6479328

105354024 has 32 divisors (see below), whose sum is σ = 264733920. Its totient is φ = 34938176.

The previous prime is 105354023. The next prime is 105354047. The reversal of 105354024 is 420453501.

It is a super-2 number, since 2×1053540242 = 22198940745985152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105353985 and 105354003.

It is not an unprimeable number, because it can be changed into a prime (105354023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6414 + ... + 15869.

It is an arithmetic number, because the mean of its divisors is an integer number (8272935).

Almost surely, 2105354024 is an apocalyptic number.

It is an amenable number.

105354024 is an abundant number, since it is smaller than the sum of its proper divisors (159379896).

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

105354024 is a wasteful number, since it uses less digits than its factorization.

105354024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22489 (or 22485 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105354024 is about 10264.2108318175. The cubic root of 105354024 is about 472.2990181313.

The spelling of 105354024 in words is "one hundred five million, three hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 197 394 591 788 1182 1576 2364 4728 22283 44566 66849 89132 133698 178264 267396 534792 4389751 8779502 13169253 17559004 26338506 35118008 52677012 105354024