Search a number
-
+
106299372 = 22331377723
BaseRepresentation
bin1100101010111…
…11111111101100
321102000120022210
412111133333230
5204203034442
614314210420
72430346464
oct625377754
9242016283
10106299372
1155004323
122b723a10
131903ab4a
1410190ba4
1594eb19c
hex655ffec

106299372 has 48 divisors (see below), whose sum is σ = 262986752. Its totient is φ = 33359040.

The previous prime is 106299371. The next prime is 106299377. The reversal of 106299372 is 273992601.

It is a super-2 number, since 2×1062993722 = 22599112975188768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106299372.

It is not an unprimeable number, because it can be changed into a prime (106299371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9903 + ... + 17625.

Almost surely, 2106299372 is an apocalyptic number.

106299372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106299372 is an abundant number, since it is smaller than the sum of its proper divisors (156687380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106299372 is a wasteful number, since it uses less digits than its factorization.

106299372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 7796 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 106299372 is about 10310.1586796712. The cubic root of 106299372 is about 473.7074696285.

The spelling of 106299372 in words is "one hundred six million, two hundred ninety-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 1147 2294 3441 4588 6882 7723 13764 15446 23169 30892 46338 92676 239413 285751 478826 571502 718239 857253 957652 1143004 1436478 1714506 2872956 3429012 8858281 17716562 26574843 35433124 53149686 106299372