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10010100 = 2235261547
BaseRepresentation
bin100110001011…
…110111110100
3200211120021110
4212023313310
510030310400
6554315020
7151040652
oct46136764
920746243
1010010100
115717811
123428a70
1320c6349
141487dd2
15d2ae50
hex98bdf4

10010100 has 72 divisors (see below), whose sum is σ = 29491168. Its totient is φ = 2620800.

The previous prime is 10010089. The next prime is 10010101. The reversal of 10010100 is 101001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18027 + ... + 18573.

Almost surely, 210010100 is an apocalyptic number.

10010100 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 10010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745584).

10010100 is an abundant number, since it is smaller than the sum of its proper divisors (19481068).

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

10010100 is a wasteful number, since it uses less digits than its factorization.

10010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10010100 is about 3163.8742073603. The cubic root of 10010100 is about 215.5159772321.

Adding to 10010100 its reverse (101001), we get a palindrome (10111101).

Subtracting from 10010100 its reverse (101001), we obtain a palindrome (9909099).

The spelling of 10010100 in words is "ten million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 547 610 732 915 1094 1220 1525 1641 1830 2188 2735 3050 3282 3660 4575 5470 6100 6564 8205 9150 10940 13675 16410 18300 27350 32820 33367 41025 54700 66734 82050 100101 133468 164100 166835 200202 333670 400404 500505 667340 834175 1001010 1668350 2002020 2502525 3336700 5005050 10010100