107801640 has 96 divisors (see below), whose sum is σ = 356171400. Its totient is φ = 28270080.

The previous prime is 107801633. The next prime is 107801647. The reversal of 107801640 is 46108701.

It is a happy number.

107801640 is a `hidden beast` number, since 10 + 7 + 8 + 0 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (107801633) and next prime (107801647).

It can be written as a sum of positive squares in 4 ways, for example, as 90212004 + 17589636 = 9498^2 + 4194^2 .

It is not an unprimeable number, because it can be changed into a prime (107801647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19506 + ... + 24414.

Almost surely, 2^107801640 is an apocalyptic number.

107801640 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 107801640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178085700).

107801640 is an abundant number, since it is smaller than the sum of its proper divisors (248369760).

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

107801640 is a wasteful number, since it uses less digits than its factorization.

107801640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107801640 is about 10382.7568593317. The cubic root of 107801640 is about 475.9285842532.

The spelling of 107801640 in words is "one hundred seven million, eight hundred one thousand, six hundred forty".