102193980 has 192 divisors, whose sum is σ = 346816512. Its totient is φ = 21991680.

The previous prime is 102193957. The next prime is 102193981. The reversal of 102193980 is 89391201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102193981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611857 + ... + 612023.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 2^102193980 is an apocalyptic number.

102193980 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 102193980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173408256).

102193980 is an abundant number, since it is smaller than the sum of its proper divisors (244622532).

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

102193980 is a wasteful number, since it uses less digits than its factorization.

102193980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 102193980 is about 10109.1038178466. The cubic root of 102193980 is about 467.5288742687.

The spelling of 102193980 in words is "one hundred two million, one hundred ninety-three thousand, nine hundred eighty".