101922480 has 240 divisors, whose sum is σ = 395894304. Its totient is φ = 23224320.

The previous prime is 101922467. The next prime is 101922487. The reversal of 101922480 is 84229101.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (101922487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134262 + ... + 135018.

Almost surely, 2^101922480 is an apocalyptic number.

101922480 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 101922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197947152).

101922480 is an abundant number, since it is smaller than the sum of its proper divisors (293971824).

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

101922480 is a wasteful number, since it uses less digits than its factorization.

101922480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 795 counting only the distinct ones).

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

The square root of 101922480 is about 10095.6663970240. Note that the first 3 decimals coincide. The cubic root of 101922480 is about 467.1144771758.

The spelling of 101922480 in words is "one hundred one million, nine hundred twenty-two thousand, four hundred eighty".