101555280 has 120 divisors (see below), whose sum is σ = 361162152. Its totient is φ = 25485312.

The previous prime is 101555257. The next prime is 101555339. The reversal of 101555280 is 82555101.

101555280 is a `hidden beast` number, since 101 + 5 + 552 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54110736 + 47444544 = 7356^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8092 + ... + 16388.

Almost surely, 2^101555280 is an apocalyptic number.

101555280 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 101555280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180581076).

101555280 is an abundant number, since it is smaller than the sum of its proper divisors (259606872).

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

101555280 is a wasteful number, since it uses less digits than its factorization.

101555280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 101555280 is about 10077.4639666932. The cubic root of 101555280 is about 466.5528384507.

The spelling of 101555280 in words is "one hundred one million, five hundred fifty-five thousand, two hundred eighty".