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10103808 = 2103111323
BaseRepresentation
bin100110100010…
…110000000000
3201000022211010
4212202300000
510041310213
61000320520
7151611111
oct46426000
921008733
1010103808
115781160
123473140
132129bb0
1414b0208
15d48ac3
hex9a2c00

10103808 has 176 divisors, whose sum is σ = 33014016. Its totient is φ = 2703360.

The previous prime is 10103783. The next prime is 10103833. The reversal of 10103808 is 80830101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10103783) and next prime (10103833).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×101038082 = 204173872201728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439285 + ... + 439307.

Almost surely, 210103808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507008).

10103808 is an abundant number, since it is smaller than the sum of its proper divisors (22910208).

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

10103808 is a wasteful number, since it uses less digits than its factorization.

10103808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10103808 is about 3178.6487695246. The cubic root of 10103808 is about 216.1863960316.

Adding to 10103808 its reverse (80830101), we get a palindrome (90933909).

The spelling of 10103808 in words is "ten million, one hundred three thousand, eight hundred eight".