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100830804 = 223235361113
BaseRepresentation
bin1100000001010…
…00111001010100
321000201201212020
412000220321110
5201303041204
614001053140
72333022234
oct600507124
9230651766
10100830804
1151a09748
12299271b0
1317b749c9
14d569cc4
158cbabd9
hex6028e54

100830804 has 96 divisors (see below), whose sum is σ = 256483584. Its totient is φ = 30750720.

The previous prime is 100830803. The next prime is 100830811. The reversal of 100830804 is 408038001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100830803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892252 + ... + 892364.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2100830804 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 100830804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792).

100830804 is an abundant number, since it is smaller than the sum of its proper divisors (155652780).

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

100830804 is a wasteful number, since it uses less digits than its factorization.

100830804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100830804 is about 10041.4542771453. The cubic root of 100830804 is about 465.4407567928.

Adding to 100830804 its reverse (408038001), we get a palindrome (508868805).

The spelling of 100830804 in words is "one hundred million, eight hundred thirty thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 23 46 53 61 69 92 106 113 122 138 159 183 212 226 244 276 318 339 366 452 636 678 732 1219 1356 1403 2438 2599 2806 3233 3657 4209 4876 5198 5612 5989 6466 6893 7314 7797 8418 9699 10396 11978 12932 13786 14628 15594 16836 17967 19398 20679 23956 27572 31188 35934 38796 41358 71868 74359 82716 137747 148718 158539 223077 275494 297436 317078 365329 413241 446154 475617 550988 634156 730658 826482 892308 951234 1095987 1461316 1652964 1902468 2191974 4383948 8402567 16805134 25207701 33610268 50415402 100830804