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106979593 = 7212717191
BaseRepresentation
bin1100110000001…
…10000100001001
321110022010102011
412120012010021
5204341321333
614340535521
72436211600
oct630060411
9243263364
10106979593
1155429396
122b9b15a1
1319218646
14102caa37
1595d29cd
hex6606109

106979593 has 12 divisors (see below), whose sum is σ = 125432832. Its totient is φ = 90969480.

The previous prime is 106979581. The next prime is 106979629. The reversal of 106979593 is 395979601.

It is a de Polignac number, because none of the positive numbers 2k-106979593 is a prime.

It is a super-2 number, since 2×1069795932 = 22889266636891298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (106979573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2373 + ... + 14818.

It is an arithmetic number, because the mean of its divisors is an integer number (10452736).

Almost surely, 2106979593 is an apocalyptic number.

It is an amenable number.

106979593 is a deficient number, since it is larger than the sum of its proper divisors (18453239).

106979593 is a wasteful number, since it uses less digits than its factorization.

106979593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17332 (or 17325 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 49.

The square root of 106979593 is about 10343.0939761756. The cubic root of 106979593 is about 474.7157568107.

The spelling of 106979593 in words is "one hundred six million, nine hundred seventy-nine thousand, five hundred ninety-three".

Divisors: 1 7 49 127 889 6223 17191 120337 842359 2183257 15282799 106979593