102054260 has 72 divisors (see below), whose sum is σ = 271996704. Its totient is φ = 31805760.

The previous prime is 102054209. The next prime is 102054269. The reversal of 102054260 is 62450201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102054269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6047 + ... + 15513.

It is an arithmetic number, because the mean of its divisors is an integer number (3777732).

Almost surely, 2^102054260 is an apocalyptic number.

102054260 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 102054260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135998352).

102054260 is an abundant number, since it is smaller than the sum of its proper divisors (169942444).

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

102054260 is a wasteful number, since it uses less digits than its factorization.

102054260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9501 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102054260 is about 10102.1908514936. The cubic root of 102054260 is about 467.3157080041.

The spelling of 102054260 in words is "one hundred two million, fifty-four thousand, two hundred sixty".