102481920 has 180 divisors, whose sum is σ = 357815640. Its totient is φ = 27131904.

The previous prime is 102481889. The next prime is 102481931. The reversal of 102481920 is 29184201.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737211 + ... + 737349.

Almost surely, 2^102481920 is an apocalyptic number.

102481920 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 102481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178907820).

102481920 is an abundant number, since it is smaller than the sum of its proper divisors (255333720).

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

102481920 is an equidigital number, since it uses as much as digits as its factorization.

102481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102481920 is about 10123.3354187244. The cubic root of 102481920 is about 467.9675629502.

It can be divided in two parts, 1024 and 81920, that added together give a square (82944 = 288²).

The spelling of 102481920 in words is "one hundred two million, four hundred eighty-one thousand, nine hundred twenty".