107281980 has 216 divisors, whose sum is σ = 372782592. Its totient is φ = 24820992.

The previous prime is 107281973. The next prime is 107281987. The reversal of 107281980 is 89182701.

It is an interprime number because it is at equal distance from previous prime (107281973) and next prime (107281987).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107281987) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 844677 + ... + 844803.

Almost surely, 2^107281980 is an apocalyptic number.

107281980 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 107281980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186391296).

107281980 is an abundant number, since it is smaller than the sum of its proper divisors (265500612).

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

107281980 is a wasteful number, since it uses less digits than its factorization.

107281980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 107281980 is about 10357.7014824719. The cubic root of 107281980 is about 475.1626109922.

The spelling of 107281980 in words is "one hundred seven million, two hundred eighty-one thousand, nine hundred eighty".