107411380461 has 36 divisors (see below), whose sum is σ = 196887659904. Its totient is φ = 55798117200.

The previous prime is 107411380451. The next prime is 107411380463. The reversal of 107411380461 is 164083114701.

107411380461 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 113 + 80 + 461 = 666.

It is not a de Polignac number, because 107411380461 - 2⁷ = 107411380333 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107411380463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11066205 + ... + 11075906.

It is an arithmetic number, because the mean of its divisors is an integer number (5469101664).

Almost surely, 2^107411380461 is an apocalyptic number.

107411380461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107411380461 is a deficient number, since it is larger than the sum of its proper divisors (89476279443).

107411380461 is a wasteful number, since it uses less digits than its factorization.

107411380461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22142142 (or 22142132 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 107411380461 in words is "one hundred seven billion, four hundred eleven million, three hundred eighty thousand, four hundred sixty-one".