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106625607 = 31110730197
BaseRepresentation
bin1100101101011…
…11101001000111
321102122010211120
412112233221013
5204244004412
614325205023
72433205554
oct626575107
9242563746
10106625607
1155207440
122b860773
131912349a
1410237a2b
159562b8c
hex65afa47

106625607 has 16 divisors (see below), whose sum is σ = 156546432. Its totient is φ = 64015520.

The previous prime is 106625591. The next prime is 106625633. The reversal of 106625607 is 706526601.

It is a cyclic number.

It is not a de Polignac number, because 106625607 - 24 = 106625591 is a prime.

It is a super-2 number, since 2×1066256072 = 22738040136236898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106625107) 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, 11568 + ... + 18629.

It is an arithmetic number, because the mean of its divisors is an integer number (9784152).

Almost surely, 2106625607 is an apocalyptic number.

106625607 is a deficient number, since it is larger than the sum of its proper divisors (49920825).

106625607 is a wasteful number, since it uses less digits than its factorization.

106625607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30318.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106625607 is about 10325.9676059922. The cubic root of 106625607 is about 474.1915807667.

The spelling of 106625607 in words is "one hundred six million, six hundred twenty-five thousand, six hundred seven".

Divisors: 1 3 11 33 107 321 1177 3531 30197 90591 332167 996501 3231079 9693237 35541869 106625607