102980000 has 120 divisors (see below), whose sum is σ = 267664320. Its totient is φ = 38880000.

The previous prime is 102979979. The next prime is 102980041. The reversal of 102980000 is 89201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379865 + ... + 380135.

It is an arithmetic number, because the mean of its divisors is an integer number (2230536).

Almost surely, 2^102980000 is an apocalyptic number.

102980000 is a gapful number since it is divisible by the number (10) 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 102980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133832160).

102980000 is an abundant number, since it is smaller than the sum of its proper divisors (164684320).

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

102980000 is an equidigital number, since it uses as much as digits as its factorization.

102980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 102980000 is about 10147.9061879779. The cubic root of 102980000 is about 468.7244726839.

The spelling of 102980000 in words is "one hundred two million, nine hundred eighty thousand".