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103243200 = 26352137157
BaseRepresentation
bin1100010011101…
…01110111000000
321012021022001020
412021311313000
5202412240300
614124505440
72362360404
oct611656700
9235238036
10103243200
1153307165
122a6ab280
131850aa68
14d9d7104
1590e58a0
hex6275dc0

103243200 has 168 divisors, whose sum is σ = 343369392. Its totient is φ = 27156480.

The previous prime is 103243121. The next prime is 103243201. The reversal of 103243200 is 2342301.

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 103243200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103243201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657522 + ... + 657678.

Almost surely, 2103243200 is an apocalyptic number.

103243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171684696).

103243200 is an abundant number, since it is smaller than the sum of its proper divisors (240126192).

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

103243200 is a wasteful number, since it uses less digits than its factorization.

103243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 103243200 is about 10160.8661048161. The cubic root of 103243200 is about 469.1234606012.

Adding to 103243200 its reverse (2342301), we get a palindrome (105585501).

The spelling of 103243200 in words is "one hundred three million, two hundred forty-three thousand, two hundred".