70982100 has 216 divisors, whose sum is σ = 268107840. Its totient is φ = 15344640.

The previous prime is 70982077. The next prime is 70982129. The reversal of 70982100 is 128907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119404 + ... + 119996.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^70982100 is an apocalyptic number.

70982100 is a gapful number since it is divisible by the number (70) 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 70982100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

70982100 is an abundant number, since it is smaller than the sum of its proper divisors (197125740).

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

70982100 is a wasteful number, since it uses less digits than its factorization.

70982100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 70982100 is about 8425.0875366372. The cubic root of 70982100 is about 414.0469735960.

The spelling of 70982100 in words is "seventy million, nine hundred eighty-two thousand, one hundred".