978110100 has 144 divisors (see below), whose sum is σ = 3430405440. Its totient is φ = 237110400.

The previous prime is 978110099. The next prime is 978110141. The reversal of 978110100 is 1011879.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13234 + ... + 46166.

It is an arithmetic number, because the mean of its divisors is an integer number (23822260).

Almost surely, 2^978110100 is an apocalyptic number.

978110100 is a gapful number since it is divisible by the number (90) 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 978110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715202720).

978110100 is an abundant number, since it is smaller than the sum of its proper divisors (2452295340).

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

978110100 is a wasteful number, since it uses less digits than its factorization.

978110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32967 (or 32954 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 978110100 is about 31274.7517975763. The cubic root of 978110100 is about 992.6494687407.

Adding to 978110100 its reverse (1011879), we get a palindrome (979121979).

It can be divided in two parts, 9781 and 10100, that added together give a square (19881 = 141²).

The spelling of 978110100 in words is "nine hundred seventy-eight million, one hundred ten thousand, one hundred".