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103991088 = 2434153997
BaseRepresentation
bin1100011001011…
…00011100110000
321020200021221210
412030230130300
5203110203323
614152520120
72401624005
oct614543460
9236607853
10103991088
1153778053
122a9b0040
13187102b6
14db4d8ac
1591e2293
hex632c730

103991088 has 80 divisors (see below), whose sum is σ = 280669536. Its totient is φ = 33146880.

The previous prime is 103991087. The next prime is 103991089. The reversal of 103991088 is 880199301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103991087) and next prime (103991089).

It is not an unprimeable number, because it can be changed into a prime (103991087) 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, 103806 + ... + 104802.

Almost surely, 2103991088 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 103991088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140334768).

103991088 is an abundant number, since it is smaller than the sum of its proper divisors (176678448).

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

103991088 is a wasteful number, since it uses less digits than its factorization.

103991088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 103991088 is about 10197.6020710753. The cubic root of 103991088 is about 470.2535044074.

The spelling of 103991088 in words is "one hundred three million, nine hundred ninety-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 318 328 424 492 636 656 848 984 997 1272 1968 1994 2173 2544 2991 3988 4346 5982 6519 7976 8692 11964 13038 15952 17384 23928 26076 34768 40877 47856 52152 52841 81754 104304 105682 122631 158523 163508 211364 245262 317046 327016 422728 490524 634092 654032 845456 981048 1268184 1962096 2166481 2536368 4332962 6499443 8665924 12998886 17331848 25997772 34663696 51995544 103991088