101482920 has 288 divisors, whose sum is σ = 419346720. Its totient is φ = 21047040.

The previous prime is 101482907. The next prime is 101482937. The reversal of 101482920 is 29284101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193779 + ... + 194301.

It is an arithmetic number, because the mean of its divisors is an integer number (1456065).

Almost surely, 2^101482920 is an apocalyptic number.

101482920 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 101482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209673360).

101482920 is an abundant number, since it is smaller than the sum of its proper divisors (317863800).

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

101482920 is a wasteful number, since it uses less digits than its factorization.

101482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

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

The square root of 101482920 is about 10073.8731379743. The cubic root of 101482920 is about 466.4420029704.

The spelling of 101482920 in words is "one hundred one million, four hundred eighty-two thousand, nine hundred twenty".