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106408304 = 24172373233
BaseRepresentation
bin1100101011110…
…10100101110000
321102020002202022
412111322211300
5204220031204
614320411012
72431312202
oct625724560
9242202668
10106408304
1155079152
122b776a68
13190785c2
14101bc772
15951d5be
hex657a970

106408304 has 80 divisors (see below), whose sum is σ = 231895872. Its totient is φ = 47038464.

The previous prime is 106408277. The next prime is 106408319. The reversal of 106408304 is 403804601.

It is a super-2 number, since 2×1064083042 = 22645454320312832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456572 + ... + 456804.

Almost surely, 2106408304 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 106408304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115947936).

106408304 is an abundant number, since it is smaller than the sum of its proper divisors (125487568).

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

106408304 is a wasteful number, since it uses less digits than its factorization.

106408304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 106408304 is about 10315.4400778639. The cubic root of 106408304 is about 473.8692275157.

The spelling of 106408304 in words is "one hundred six million, four hundred eight thousand, three hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 68 73 92 136 146 184 233 272 292 368 391 466 584 782 932 1168 1241 1564 1679 1864 2482 3128 3358 3728 3961 4964 5359 6256 6716 7922 9928 10718 13432 15844 17009 19856 21436 26864 28543 31688 34018 42872 57086 63376 68036 85744 91103 114172 136072 182206 228344 272144 289153 364412 391207 456688 578306 728824 782414 1156612 1457648 1564828 2313224 3129656 4626448 6259312 6650519 13301038 26602076 53204152 106408304