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106914472 = 237347829
BaseRepresentation
bin1100101111101…
…10001010101000
321110011211002021
412113312022220
5204332230342
614335314224
72435521000
oct627661250
9243154067
10106914472
1155394475
122b97b974
13191c4b02
14102b1000
1595bd567
hex65f62a8

106914472 has 64 divisors (see below), whose sum is σ = 239040000. Its totient is φ = 44791488.

The previous prime is 106914449. The next prime is 106914487. The reversal of 106914472 is 274419601.

It is a super-2 number, since 2×1069144722 = 22861408646077568, 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, 128554 + ... + 129382.

It is an arithmetic number, because the mean of its divisors is an integer number (3735000).

Almost surely, 2106914472 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 106914472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520000).

106914472 is an abundant number, since it is smaller than the sum of its proper divisors (132125528).

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

106914472 is an equidigital number, since it uses as much as digits as its factorization.

106914472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 106914472 is about 10339.9454544016. The cubic root of 106914472 is about 474.6194137022.

The spelling of 106914472 in words is "one hundred six million, nine hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 343 376 392 658 686 829 1316 1372 1658 2303 2632 2744 3316 4606 5803 6632 9212 11606 16121 18424 23212 32242 38963 40621 46424 64484 77926 81242 128968 155852 162484 272741 284347 311704 324968 545482 568694 1090964 1137388 1909187 2181928 2274776 3818374 7636748 13364309 15273496 26728618 53457236 106914472