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106023300 = 22352353411
BaseRepresentation
bin1100101000111…
…00100110000100
321101111112121220
412110130212010
5204120221200
614304240340
72425116555
oct624344604
9241445556
10106023300
1154935969
122b6100b0
1318c722a6
141011c32c
1594944a0
hex651c984

106023300 has 36 divisors (see below), whose sum is σ = 306761616. Its totient is φ = 28272800.

The previous prime is 106023289. The next prime is 106023331. The reversal of 106023300 is 3320601.

It is a super-2 number, since 2×1060233002 = 22481880285780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106023300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176406 + ... + 177005.

It is an arithmetic number, because the mean of its divisors is an integer number (8521156).

Almost surely, 2106023300 is an apocalyptic number.

106023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106023300 is an abundant number, since it is smaller than the sum of its proper divisors (200738316).

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

106023300 is a wasteful number, since it uses less digits than its factorization.

106023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353428 (or 353421 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 106023300 is about 10296.7616268417. The cubic root of 106023300 is about 473.2970227166.

Adding to 106023300 its reverse (3320601), we get a palindrome (109343901).

The spelling of 106023300 in words is "one hundred six million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 353411 706822 1060233 1413644 1767055 2120466 3534110 4240932 5301165 7068220 8835275 10602330 17670550 21204660 26505825 35341100 53011650 106023300