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100321104 = 24313283149
BaseRepresentation
bin1011111101011…
…00011101010000
320222202211200110
411332230131100
5201140233404
613542121320
72325500232
oct576543520
9228684613
10100321104
11516a0804
1229720240
1317a26a00
14d476252
158c19b89
hex5fac750

100321104 has 120 divisors (see below), whose sum is σ = 285919200. Its totient is φ = 30291456.

The previous prime is 100321099. The next prime is 100321139. The reversal of 100321104 is 401123001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100321104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673222 + ... + 673370.

It is an arithmetic number, because the mean of its divisors is an integer number (2382660).

Almost surely, 2100321104 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 100321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959600).

100321104 is an abundant number, since it is smaller than the sum of its proper divisors (185598096).

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

100321104 is a wasteful number, since it uses less digits than its factorization.

100321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100321104 is about 10016.0423321789. The cubic root of 100321104 is about 464.6551634616.

Adding to 100321104 its reverse (401123001), we get a palindrome (501444105).

The spelling of 100321104 in words is "one hundred million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 149 156 166 169 208 249 298 312 332 338 447 498 507 596 624 664 676 894 996 1014 1079 1192 1328 1352 1788 1937 1992 2028 2158 2384 2704 3237 3576 3874 3984 4056 4316 5811 6474 7152 7748 8112 8632 11622 12367 12948 14027 15496 17264 23244 24734 25181 25896 28054 30992 37101 42081 46488 49468 50362 51792 56108 74202 75543 84162 92976 98936 100724 112216 148404 151086 160771 168324 197872 201448 224432 296808 302172 321542 336648 402896 482313 593616 604344 643084 673296 964626 1208688 1286168 1929252 2090023 2572336 3858504 4180046 6270069 7717008 8360092 12540138 16720184 25080276 33440368 50160552 100321104