107003040 has 96 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 27546624.

The previous prime is 107003023. The next prime is 107003047. The reversal of 107003040 is 40300701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107003040² = 22899301138483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (107003047) 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 15 ways as a sum of consecutive naturals, for example, 10077 + ... + 17763.

It is an arithmetic number, because the mean of its divisors is an integer number (3632580).

Almost surely, 2^107003040 is an apocalyptic number.

107003040 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 107003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

107003040 is an abundant number, since it is smaller than the sum of its proper divisors (241724640).

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

107003040 is a wasteful number, since it uses less digits than its factorization.

107003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 107003040 is about 10344.2273756912. The cubic root of 107003040 is about 474.7504358461.

Adding to 107003040 its reverse (40300701), we get a palindrome (147303741).

The spelling of 107003040 in words is "one hundred seven million, three thousand, forty".