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107371044 = 22321121572
BaseRepresentation
bin1100110011001…
…01101000100100
321111001000101100
412121211220210
5204441333134
614353200100
72442432054
oct631455044
9244030340
10107371044
1155676500
122bb60030
1319324881
141038d564
15965d999
hex6665a24

107371044 has 81 divisors (see below), whose sum is σ = 300239121. Its totient is φ = 32329440.

The previous prime is 107371037. The next prime is 107371063. The reversal of 107371044 is 440173701.

The square root of 107371044 is 10362.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31472100 + 75898944 = 5610^2 + 8712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107370999 and 107371017.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 683814 + ... + 683970.

Almost surely, 2107371044 is an apocalyptic number.

107371044 is the 10362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107371044

107371044 is an abundant number, since it is smaller than the sum of its proper divisors (192868077).

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

107371044 is a wasteful number, since it uses less digits than its factorization.

107371044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The cubic root of 107371044 is about 475.2940657406.

It can be divided in two parts, 10737 and 1044, that added together give a triangular number (11781 = T153).

The spelling of 107371044 in words is "one hundred seven million, three hundred seventy-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 157 198 242 314 363 396 471 484 628 726 942 1089 1413 1452 1727 1884 2178 2826 3454 4356 5181 5652 6908 10362 15543 18997 20724 24649 31086 37994 49298 56991 62172 73947 75988 98596 113982 147894 170973 221841 227964 271139 295788 341946 443682 542278 683892 813417 887364 1084556 1626834 2440251 2982529 3253668 4880502 5965058 8947587 9761004 11930116 17895174 26842761 35790348 53685522 107371044