102193920 has 144 divisors (see below), whose sum is σ = 362769120. Its totient is φ = 27242496.

The previous prime is 102193909. The next prime is 102193937. The reversal of 102193920 is 29391201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 33082 + ... + 36038.

It is an arithmetic number, because the mean of its divisors is an integer number (2519230).

Almost surely, 2^102193920 is an apocalyptic number.

102193920 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 102193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181384560).

102193920 is an abundant number, since it is smaller than the sum of its proper divisors (260575200).

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

102193920 is an equidigital number, since it uses as much as digits as its factorization.

102193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102193920 is about 10109.1008502240. The cubic root of 102193920 is about 467.5287827704.

The spelling of 102193920 in words is "one hundred two million, one hundred ninety-three thousand, nine hundred twenty".