979946100 has 324 divisors, whose sum is σ = 3709908384. Its totient is φ = 223715520.

The previous prime is 979946039. The next prime is 979946129. The reversal of 979946100 is 1649979.

979946100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1190289 + ... + 1191111.

Almost surely, 2^979946100 is an apocalyptic number.

979946100 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 979946100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854954192).

979946100 is an abundant number, since it is smaller than the sum of its proper divisors (2729962284).

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

979946100 is a wasteful number, since it uses less digits than its factorization.

979946100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 979946100 is about 31304.0907869882. The cubic root of 979946100 is about 993.2701777583.

The spelling of 979946100 in words is "nine hundred seventy-nine million, nine hundred forty-six thousand, one hundred".