107084249680 has 20 divisors (see below), whose sum is σ = 248970880692. Its totient is φ = 42833699840.

The previous prime is 107084249669. The next prime is 107084249693. The reversal of 107084249680 is 86942480701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49850385984 + 57233863696 = 223272^2 + 239236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×107084249680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669276481 + ... + 669276640.

Almost surely, 2^107084249680 is an apocalyptic number.

107084249680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107084249680 is an abundant number, since it is smaller than the sum of its proper divisors (141886631012).

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

107084249680 is a wasteful number, since it uses less digits than its factorization.

107084249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338553134 (or 1338553128 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 107084249680 in words is "one hundred seven billion, eighty-four million, two hundred forty-nine thousand, six hundred eighty".