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105621481284 = 22311272742067
BaseRepresentation
bin110001001011110000…
…1111110011101000100
3101002121221110011212020
41202113201332131010
53212303044400114
6120304414523140
710426253530524
oct1422741763504
9332557404766
10105621481284
1140880633200
12185785064b0
139c63348627
14517d89b684
152b32a03aa9
hex189787e744

105621481284 has 36 divisors (see below), whose sum is σ = 270891461232. Its totient is φ = 32006509040.

The previous prime is 105621481283. The next prime is 105621481319. The reversal of 105621481284 is 482184126501.

It is a super-2 number, since 2×1056214812842 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105621481283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36369582 + ... + 36372485.

It is an arithmetic number, because the mean of its divisors is an integer number (7524762812).

Almost surely, 2105621481284 is an apocalyptic number.

It is an amenable number.

105621481284 is an abundant number, since it is smaller than the sum of its proper divisors (165269979948).

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

105621481284 is a wasteful number, since it uses less digits than its factorization.

105621481284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72742096 (or 72742083 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 105621481284 in words is "one hundred five billion, six hundred twenty-one million, four hundred eighty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 72742067 145484134 218226201 290968268 436452402 800162737 872904804 1600325474 2400488211 3200650948 4800976422 8801790107 9601952844 17603580214 26405370321 35207160428 52810740642 105621481284