107466124416 has 256 divisors, whose sum is σ = 344263219200. Its totient is φ = 29038141440.

The previous prime is 107466124379. The next prime is 107466124417. The reversal of 107466124416 is 614421664701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (107466124417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5492571 + ... + 5512101.

It is an arithmetic number, because the mean of its divisors is an integer number (1344778200).

Almost surely, 2^107466124416 is an apocalyptic number.

107466124416 is a gapful number since it is divisible by the number (16) 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 107466124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172131609600).

107466124416 is an abundant number, since it is smaller than the sum of its proper divisors (236797094784).

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

107466124416 is a wasteful number, since it uses less digits than its factorization.

107466124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19667 (or 19655 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 107466124416 in words is "one hundred seven billion, four hundred sixty-six million, one hundred twenty-four thousand, four hundred sixteen".