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107021152 = 2574143271
BaseRepresentation
bin1100110000100…
…00001101100000
321110101020102101
412120100031200
5204344134102
614341500144
72436444010
oct630201540
9243336371
10107021152
1155457637
122ba11654
1319231534
14102dbc40
1595dee87
hex6610360

107021152 has 96 divisors (see below), whose sum is σ = 253338624. Its totient is φ = 43545600.

The previous prime is 107021149. The next prime is 107021153. The reversal of 107021152 is 251120701.

It is a super-2 number, since 2×1070211522 = 22907053950814208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107021153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394777 + ... + 395047.

It is an arithmetic number, because the mean of its divisors is an integer number (2638944).

Almost surely, 2107021152 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 107021152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126669312).

107021152 is an abundant number, since it is smaller than the sum of its proper divisors (146317472).

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

107021152 is a wasteful number, since it uses less digits than its factorization.

107021152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 107021152 is about 10345.1028027758. The cubic root of 107021152 is about 474.7772207386. Note that the first 3 decimals are identical.

Adding to 107021152 its reverse (251120701), we get a palindrome (358141853).

It can be divided in two parts, 1070 and 21152, that added together give a palindrome (22222).

The spelling of 107021152 in words is "one hundred seven million, twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 43 56 82 86 112 164 172 224 271 287 301 328 344 542 574 602 656 688 1084 1148 1204 1312 1376 1763 1897 2168 2296 2408 3526 3794 4336 4592 4816 7052 7588 8672 9184 9632 11111 11653 12341 14104 15176 22222 23306 24682 28208 30352 44444 46612 49364 56416 60704 77777 81571 88888 93224 98728 155554 163142 177776 186448 197456 311108 326284 355552 372896 394912 477773 622216 652568 955546 1244432 1305136 1911092 2488864 2610272 3344411 3822184 6688822 7644368 13377644 15288736 26755288 53510576 107021152