107466621696 has 864 divisors, whose sum is σ = 399983001600. Its totient is φ = 28083179520.

The previous prime is 107466621673. The next prime is 107466621697. The reversal of 107466621696 is 696126664701.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107466621697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256483375 + ... + 256483793.

Almost surely, 2^107466621696 is an apocalyptic number.

107466621696 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 107466621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199991500800).

107466621696 is an abundant number, since it is smaller than the sum of its proper divisors (292516379904).

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

107466621696 is an equidigital number, since it uses as much as digits as its factorization.

107466621696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 107466621696 in words is "one hundred seven billion, four hundred sixty-six million, six hundred twenty-one thousand, six hundred ninety-six".