Search a number
-
+
106397375 = 537229599
BaseRepresentation
bin1100101011101…
…11111010111111
321102012112202112
412111313322333
5204214204000
614320244235
72431235300
oct625677277
9242175675
10106397375
1155070a17
122b77067b
1319073636
14101b87a7
15951a235
hex6577ebf

106397375 has 48 divisors (see below), whose sum is σ = 160056000. Its totient is φ = 70324800.

The previous prime is 106397371. The next prime is 106397381. The reversal of 106397375 is 573793601.

It is not a de Polignac number, because 106397375 - 22 = 106397371 is a prime.

It is a super-2 number, since 2×1063973752 = 22640802813781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106397371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177326 + ... + 177924.

It is an arithmetic number, because the mean of its divisors is an integer number (3334500).

Almost surely, 2106397375 is an apocalyptic number.

106397375 is a deficient number, since it is larger than the sum of its proper divisors (53658625).

106397375 is an equidigital number, since it uses as much as digits as its factorization.

106397375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 41.

The square root of 106397375 is about 10314.9103243799. The cubic root of 106397375 is about 473.8530035498.

The spelling of 106397375 in words is "one hundred six million, three hundred ninety-seven thousand, three hundred seventy-five".

Divisors: 1 5 7 25 29 35 49 125 145 175 203 245 599 725 875 1015 1225 1421 2995 3625 4193 5075 6125 7105 14975 17371 20965 25375 29351 35525 74875 86855 104825 121597 146755 177625 434275 524125 607985 733775 851179 2171375 3039925 3668875 4255895 15199625 21279475 106397375