101922880 has 56 divisors (see below), whose sum is σ = 243596160. Its totient is φ = 40619520.

The previous prime is 101922839. The next prime is 101922881. The reversal of 101922880 is 88229101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101922881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137551 + ... + 138289.

Almost surely, 2^101922880 is an apocalyptic number.

101922880 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 101922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121798080).

101922880 is an abundant number, since it is smaller than the sum of its proper divisors (141673280).

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

101922880 is an equidigital number, since it uses as much as digits as its factorization.

101922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 101922880 is about 10095.6862074849. The cubic root of 101922880 is about 467.1150882465.

The spelling of 101922880 in words is "one hundred one million, nine hundred twenty-two thousand, eight hundred eighty".