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106385237 = 7192333433
BaseRepresentation
bin1100101011101…
…00111101010101
321102011221002222
412111310331111
5204213311422
614320112125
72431155020
oct625647525
9242157088
10106385237
1155062892
122b765645
131906ac5a
14101b41b7
159516842
hex6574f55

106385237 has 16 divisors (see below), whose sum is σ = 128568960. Its totient is φ = 85992192.

The previous prime is 106385207. The next prime is 106385239. The reversal of 106385237 is 732583601.

It is a cyclic number.

It is not a de Polignac number, because 106385237 - 214 = 106368853 is a prime.

It is a super-2 number, since 2×1063852372 = 22635637303092338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106385197 and 106385206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106385239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29273 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (8035560).

Almost surely, 2106385237 is an apocalyptic number.

It is an amenable number.

106385237 is a deficient number, since it is larger than the sum of its proper divisors (22183723).

106385237 is a wasteful number, since it uses less digits than its factorization.

106385237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 106385237 is about 10314.3219360266. The cubic root of 106385237 is about 473.8349835360.

The spelling of 106385237 in words is "one hundred six million, three hundred eighty-five thousand, two hundred thirty-seven".

Divisors: 1 7 19 133 233 1631 3433 4427 24031 30989 65227 456589 799889 5599223 15197891 106385237