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106522944 = 26311311627
BaseRepresentation
bin1100101100101…
…10100101000000
321102102221000020
412112112211000
5204232213234
614323053440
72432300343
oct626264500
9242387006
10106522944
11551472a0
122b811280
13190b8838
141020c45a
159542549
hex6596940

106522944 has 112 divisors (see below), whose sum is σ = 317577216. Its totient is φ = 31219200.

The previous prime is 106522939. The next prime is 106522957. The reversal of 106522944 is 449225601.

It is a super-2 number, since 2×1065229442 = 22694275196854272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64659 + ... + 66285.

Almost surely, 2106522944 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 106522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158788608).

106522944 is an abundant number, since it is smaller than the sum of its proper divisors (211054272).

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

106522944 is a wasteful number, since it uses less digits than its factorization.

106522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106522944 is about 10320.9953008419. The cubic root of 106522944 is about 474.0393422810.

The spelling of 106522944 in words is "one hundred six million, five hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1627 1984 2046 2112 2728 2976 3254 4092 4881 5456 5952 6508 8184 9762 10912 13016 16368 17897 19524 21824 26032 32736 35794 39048 50437 52064 53691 65472 71588 78096 100874 104128 107382 143176 151311 156192 201748 214764 286352 302622 312384 403496 429528 554807 572704 605244 806992 859056 1109614 1145408 1210488 1613984 1664421 1718112 2219228 2420976 3227968 3328842 3436224 4438456 4841952 6657684 8876912 9683904 13315368 17753824 26630736 35507648 53261472 106522944