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107434080 = 25335131913
BaseRepresentation
bin1100110011101…
…01000001100000
321111011012212000
412121311001200
5210000342310
614354404000
72443113615
oct631650140
9244135760
10107434080
11557098a6
122bb90600
1319347480
14103a850c
1596724c0
hex6675060

107434080 has 192 divisors, whose sum is σ = 405155520. Its totient is φ = 26431488.

The previous prime is 107434079. The next prime is 107434087. The reversal of 107434080 is 80434701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107434087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55204 + ... + 57116.

It is an arithmetic number, because the mean of its divisors is an integer number (2110185).

Almost surely, 2107434080 is an apocalyptic number.

107434080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202577760).

107434080 is an abundant number, since it is smaller than the sum of its proper divisors (297721440).

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

107434080 is a wasteful number, since it uses less digits than its factorization.

107434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107434080 is about 10365.0412444910. The cubic root of 107434080 is about 475.3870603208.

Adding to 107434080 its reverse (80434701), we get a palindrome (187868781).

The spelling of 107434080 in words is "one hundred seven million, four hundred thirty-four thousand, eighty".