107621280 has 144 divisors (see below), whose sum is σ = 395577000. Its totient is φ = 26486784.

The previous prime is 107621207. The next prime is 107621281. The reversal of 107621280 is 82126701.

107621280 is a `hidden beast` number, since 10 + 7 + 621 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 74857104 = 5724^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (107621281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15846 + ... + 21594.

Almost surely, 2^107621280 is an apocalyptic number.

107621280 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 107621280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197788500).

107621280 is an abundant number, since it is smaller than the sum of its proper divisors (287955720).

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

107621280 is a wasteful number, since it uses less digits than its factorization.

107621280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5772 counting only the distinct ones).

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

The square root of 107621280 is about 10374.0676689522. The cubic root of 107621280 is about 475.6630150239.

Adding to 107621280 its reverse (82126701), we get a palindrome (189747981).

The spelling of 107621280 in words is "one hundred seven million, six hundred twenty-one thousand, two hundred eighty".