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106373885 = 529241617
BaseRepresentation
bin1100101011100…
…10001011111101
321102011100112112
412111302023331
5204212431020
614315543405
72431106642
oct625621375
9242140475
10106373885
1155055302
122b75ab65
1319065a37
14101addc9
1595132c5
hex65722fd

106373885 has 24 divisors (see below), whose sum is σ = 135646056. Its totient is φ = 80030720.

The previous prime is 106373857. The next prime is 106373887. The reversal of 106373885 is 588373601.

It can be written as a sum of positive squares in 12 ways, for example, as 78039556 + 28334329 = 8834^2 + 5323^2 .

It is not a de Polignac number, because 106373885 - 218 = 106111741 is a prime.

It is a super-2 number, since 2×1063738852 = 22630806819986450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106373887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172097 + ... + 172713.

It is an arithmetic number, because the mean of its divisors is an integer number (5651919).

Almost surely, 2106373885 is an apocalyptic number.

It is an amenable number.

106373885 is a deficient number, since it is larger than the sum of its proper divisors (29272171).

106373885 is an equidigital number, since it uses as much as digits as its factorization.

106373885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 106373885 is about 10313.7716185690. The cubic root of 106373885 is about 473.8181291735.

The spelling of 106373885 in words is "one hundred six million, three hundred seventy-three thousand, eight hundred eighty-five".

Divisors: 1 5 29 41 145 205 617 841 1189 3085 4205 5945 17893 25297 34481 89465 126485 172405 518897 733613 2594485 3668065 21274777 106373885