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100023104 = 2617149617
BaseRepresentation
bin1011111011000…
…11101101000000
320222012200220102
411331203231000
5201101214404
613531501532
72323116356
oct575435500
9228180812
10100023104
1151507925
12295b78a8
131795118c
14d3d97d6
158bab71e
hex5f63b40

100023104 has 56 divisors (see below), whose sum is σ = 211912200. Its totient is φ = 46678016.

The previous prime is 100023101. The next prime is 100023109. The reversal of 100023104 is 401320001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 100000000 = 152^2 + 10000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161804 + ... + 162420.

Almost surely, 2100023104 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 100023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105956100).

100023104 is an abundant number, since it is smaller than the sum of its proper divisors (111889096).

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

100023104 is a wasteful number, since it uses less digits than its factorization.

100023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100023104 is about 10001.1551332834. The cubic root of 100023104 is about 464.1946270315.

Adding to 100023104 its reverse (401320001), we get a palindrome (501343105).

The spelling of 100023104 in words is "one hundred million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 149 272 298 544 596 617 1088 1192 1234 2384 2468 2533 4768 4936 5066 9536 9872 10132 10489 19744 20264 20978 39488 40528 41956 81056 83912 91933 162112 167824 183866 335648 367732 671296 735464 1470928 1562861 2941856 3125722 5883712 6251444 12502888 25005776 50011552 100023104