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103104100 = 22521128521
BaseRepresentation
bin1100010010100…
…11111001100100
321012000020020101
412021103321210
5202343312400
614121513444
72361241021
oct611237144
9235006211
10103104100
1153221700
122a642884
131848c658
14d99c548
1590b956a
hex6253e64

103104100 has 54 divisors (see below), whose sum is σ = 245953442. Its totient is φ = 37488000.

The previous prime is 103104059. The next prime is 103104103. The reversal of 103104100 is 1401301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5963364 + 97140736 = 2442^2 + 9856^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103104103) 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 17 ways as a sum of consecutive naturals, for example, 7840 + ... + 16360.

Almost surely, 2103104100 is an apocalyptic number.

103104100 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 103104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976721).

103104100 is an abundant number, since it is smaller than the sum of its proper divisors (142849342).

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

103104100 is a wasteful number, since it uses less digits than its factorization.

103104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 103104100 is about 10154.0189087868. The cubic root of 103104100 is about 468.9126819043.

Adding to 103104100 its reverse (1401301), we get a palindrome (104505401).

The spelling of 103104100 in words is "one hundred three million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 8521 12100 17042 34084 42605 85210 93731 170420 187462 213025 374924 426050 468655 852100 937310 1031041 1874620 2062082 2343275 4124164 4686550 5155205 9373100 10310410 20620820 25776025 51552050 103104100