109978445304 has 640 divisors, whose sum is σ = 414496051200. Its totient is φ = 26411028480.

The previous prime is 109978445293. The next prime is 109978445323. The reversal of 109978445304 is 403544879901.

109978445304 is a `hidden beast` number, since 10 + 9 + 97 + 8 + 4 + 4 + 530 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31074367 + ... + 31077905.

It is an arithmetic number, because the mean of its divisors is an integer number (647650080).

Almost surely, 2^109978445304 is an apocalyptic number.

109978445304 is a gapful number since it is divisible by the number (14) 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 109978445304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207248025600).

109978445304 is an abundant number, since it is smaller than the sum of its proper divisors (304517605896).

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

109978445304 is a wasteful number, since it uses less digits than its factorization.

109978445304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 109978445304 in words is "one hundred nine billion, nine hundred seventy-eight million, four hundred forty-five thousand, three hundred four".