107049280 has 56 divisors (see below), whose sum is σ = 274530312. Its totient is φ = 39524352.

The previous prime is 107049277. The next prime is 107049281. The reversal of 107049280 is 82940701.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 105021504 = 1424^2 + 10248^2 .

It is a super-2 number, since 2×107049280² = 22919096697036800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107049281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8707 + ... + 17026.

It is an arithmetic number, because the mean of its divisors is an integer number (4902327).

Almost surely, 2^107049280 is an apocalyptic number.

107049280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107049280 is an abundant number, since it is smaller than the sum of its proper divisors (167481032).

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

107049280 is a wasteful number, since it uses less digits than its factorization.

107049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25763 (or 25753 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 107049280 is about 10346.4621972924. The cubic root of 107049280 is about 474.8188117812.

Adding to 107049280 its reverse (82940701), we get a palindrome (189989981).

The spelling of 107049280 in words is "one hundred seven million, forty-nine thousand, two hundred eighty".