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105037784237 is a prime number
BaseRepresentation
bin110000111010010111…
…1010110010010101101
3101001010021010022001002
41201310233112102231
53210104133043422
6120130444130045
710405635302051
oct1416457262255
9331107108032
10105037784237
11406010aaa51
1218434b36925
139b9c43a469
145126159c61
152aeb656692
hex1874bd64ad

105037784237 has 2 divisors, whose sum is σ = 105037784238. Its totient is φ = 105037784236.

The previous prime is 105037784177. The next prime is 105037784263. The reversal of 105037784237 is 732487730501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93794575081 + 11243209156 = 306259^2 + 106034^2 .

It is a cyclic number.

It is not a de Polignac number, because 105037784237 - 228 = 104769348781 is a prime.

It is a super-2 number, since 2×1050377842372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105037784191 and 105037784200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105037784837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52518892118 + 52518892119.

It is an arithmetic number, because the mean of its divisors is an integer number (52518892119).

Almost surely, 2105037784237 is an apocalyptic number.

It is an amenable number.

105037784237 is a deficient number, since it is larger than the sum of its proper divisors (1).

105037784237 is an equidigital number, since it uses as much as digits as its factorization.

105037784237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 987840, while the sum is 47.

The spelling of 105037784237 in words is "one hundred five billion, thirty-seven million, seven hundred eighty-four thousand, two hundred thirty-seven".