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107108672 = 2611353431
BaseRepresentation
bin1100110001001…
…01100101000000
321110112200110212
412120211211000
5204404434142
614343413252
72440260116
oct630454500
9243480425
10107108672
1155507370
122ba54228
1319262318
1410321ab6
15960ad82
hex6625940

107108672 has 56 divisors (see below), whose sum is σ = 233062272. Its totient is φ = 48435200.

The previous prime is 107108647. The next prime is 107108693. The reversal of 107108672 is 276801701.

It is a super-2 number, since 2×1071086722 = 22944535235207168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248297 + ... + 248727.

Almost surely, 2107108672 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 107108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116531136).

107108672 is an abundant number, since it is smaller than the sum of its proper divisors (125953600).

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

107108672 is a wasteful number, since it uses less digits than its factorization.

107108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 107108672 is about 10349.3319591170. The cubic root of 107108672 is about 474.9066069386.

The spelling of 107108672 in words is "one hundred seven million, one hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 353 431 704 706 862 1412 1724 2824 3448 3883 4741 5648 6896 7766 9482 11296 13792 15532 18964 22592 27584 31064 37928 62128 75856 124256 151712 152143 248512 303424 304286 608572 1217144 1673573 2434288 3347146 4868576 6694292 9737152 13388584 26777168 53554336 107108672