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10100104 = 237415383
BaseRepresentation
bin100110100001…
…110110001000
3201000010201221
4212201312020
510041200404
61000251424
7151564240
oct46416610
921003657
1010100104
1157793a3
123470b74
1321282c1
1414acb20
15d47954
hex9a1d88

10100104 has 64 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 4093440.

The previous prime is 10100099. The next prime is 10100107. The reversal of 10100104 is 40100101.

Adding to 10100104 its reverse (40100101), we get a palindrome (50200205).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10100107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121647 + ... + 121729.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 210100104 is an apocalyptic number.

10100104 is a gapful number since it is divisible by the number (14) 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 10100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10100104 is an abundant number, since it is smaller than the sum of its proper divisors (12761336).

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

10100104 is a wasteful number, since it uses less digits than its factorization.

10100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10100104 is about 3178.0660786082. The cubic root of 10100104 is about 216.1599752246.

The spelling of 10100104 in words is "ten million, one hundred thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 53 56 82 83 106 164 166 212 287 328 332 371 424 574 581 664 742 1148 1162 1484 2173 2296 2324 2968 3403 4346 4399 4648 6806 8692 8798 13612 15211 17384 17596 23821 27224 30422 30793 35192 47642 60844 61586 95284 121688 123172 180359 190568 246344 360718 721436 1262513 1442872 2525026 5050052 10100104