102143920 has 80 divisors (see below), whose sum is σ = 253769472. Its totient is φ = 38142720.

The previous prime is 102143917. The next prime is 102143933. The reversal of 102143920 is 29341201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102143891 and 102143900.

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 15 ways as a sum of consecutive naturals, for example, 78475 + ... + 79765.

Almost surely, 2^102143920 is an apocalyptic number.

102143920 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 102143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126884736).

102143920 is an abundant number, since it is smaller than the sum of its proper divisors (151625552).

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

102143920 is a wasteful number, since it uses less digits than its factorization.

102143920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 102143920 is about 10106.6275285082. The cubic root of 102143920 is about 467.4525217019.

The spelling of 102143920 in words is "one hundred two million, one hundred forty-three thousand, nine hundred twenty".