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107616054 = 23721337761
BaseRepresentation
bin1100110101000…
…01011100110110
321111111110110210
412122201130312
5210022203204
614402330250
72444502300
oct632413466
9244443423
10107616054
1155823597
1230059986
13193ac250
1410414970
1596ab389
hex66a1736

107616054 has 96 divisors (see below), whose sum is σ = 277282656. Its totient is φ = 27578880.

The previous prime is 107616043. The next prime is 107616077. The reversal of 107616054 is 450616701.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141034 + ... + 141794.

It is an arithmetic number, because the mean of its divisors is an integer number (2888361).

Almost surely, 2107616054 is an apocalyptic number.

107616054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107616054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138641328).

107616054 is an abundant number, since it is smaller than the sum of its proper divisors (169666602).

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

107616054 is a wasteful number, since it uses less digits than its factorization.

107616054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 107616054 is about 10373.8157878381. The cubic root of 107616054 is about 475.6553156323.

The spelling of 107616054 in words is "one hundred seven million, six hundred sixteen thousand, fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 294 481 518 546 637 761 777 962 1274 1443 1522 1554 1813 1911 2283 2886 3367 3626 3822 4566 5327 5439 6734 9893 10101 10654 10878 15981 19786 20202 23569 28157 29679 31962 37289 47138 56314 59358 69251 70707 74578 84471 111867 138502 141414 168942 197099 207753 223734 366041 394198 415506 484757 591297 732082 969514 1098123 1182594 1379693 1454271 2196246 2562287 2759386 2908542 4139079 5124574 7686861 8278158 15373722 17936009 35872018 53808027 107616054