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105401332344 = 23371157035353
BaseRepresentation
bin110001000101001101…
…0001011001001111000
3101002001121012110021210
41202022122023021320
53211330220113334
6120230512203120
710420641354060
oct1421232131170
9332047173253
10105401332344
1140778339030
12185168394a0
139c29858199
14515c5523a0
152b1d5195e9
hex188a68b278

105401332344 has 64 divisors (see below), whose sum is σ = 328523639040. Its totient is φ = 27376968960.

The previous prime is 105401332331. The next prime is 105401332357. The reversal of 105401332344 is 443233104501.

It is an interprime number because it is at equal distance from previous prime (105401332331) and next prime (105401332357).

It is a super-2 number, since 2×1054013323442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28515829 + ... + 28519524.

It is an arithmetic number, because the mean of its divisors is an integer number (5133181860).

Almost surely, 2105401332344 is an apocalyptic number.

105401332344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105401332344 is an abundant number, since it is smaller than the sum of its proper divisors (223122306696).

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

105401332344 is a wasteful number, since it uses less digits than its factorization.

105401332344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57035380 (or 57035376 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 105401332344 its reverse (443233104501), we get a palindrome (548634436845).

The spelling of 105401332344 in words is "one hundred five billion, four hundred one million, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 57035353 114070706 171106059 228141412 342212118 399247471 456282824 627388883 684424236 798494942 1197742413 1254777766 1368848472 1596989884 1882166649 2395484826 2509555532 3193979768 3764333298 4391722181 4790969652 5019111064 7528666596 8783444362 9581939304 13175166543 15057333192 17566888724 26350333086 35133777448 52700666172 105401332344