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106803828 = 22322966773
BaseRepresentation
bin1100101110110…
…11001001110100
321102222012022100
412113123021310
5204320210303
614333102100
72434550265
oct627331164
9242865270
10106803828
115531932a
122b927930
1319186641
141028296c
15959a8a3
hex65db274

106803828 has 18 divisors (see below), whose sum is σ = 269976434. Its totient is φ = 35601264.

The previous prime is 106803821. The next prime is 106803833. The reversal of 106803828 is 828308601.

It can be written as a sum of positive squares in only one way, i.e., 104407524 + 2396304 = 10218^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1068038282 = 22814115350907168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2966773 = 106803828 / (1 + 0 + 6 + 8 + 0 + 3 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 106803792 and 106803801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106803821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1483351 + ... + 1483422.

Almost surely, 2106803828 is an apocalyptic number.

106803828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106803828 is an abundant number, since it is smaller than the sum of its proper divisors (163172606).

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

106803828 is a wasteful number, since it uses less digits than its factorization.

106803828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966783 (or 2966778 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106803828 is about 10334.5937510867. The cubic root of 106803828 is about 474.4556319582.

The spelling of 106803828 in words is "one hundred six million, eight hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2966773 5933546 8900319 11867092 17800638 26700957 35601276 53401914 106803828