101930920 has 128 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 31426560.

The previous prime is 101930897. The next prime is 101930951. The reversal of 101930920 is 29039101.

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 31 ways as a sum of consecutive naturals, for example, 148899 + ... + 149581.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^101930920 is an apocalyptic number.

101930920 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 101930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

101930920 is an abundant number, since it is smaller than the sum of its proper divisors (187647320).

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

101930920 is a wasteful number, since it uses less digits than its factorization.

101930920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 101930920 is about 10096.0843895047. The cubic root of 101930920 is about 467.1273704301.

The spelling of 101930920 in words is "one hundred one million, nine hundred thirty thousand, nine hundred twenty".