101881280 has 56 divisors (see below), whose sum is σ = 244083840. Its totient is φ = 40504320.

The previous prime is 101881279. The next prime is 101881291. The reversal of 101881280 is 82188101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57041 + ... + 58799.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2^101881280 is an apocalyptic number.

101881280 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 101881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122041920).

101881280 is an abundant number, since it is smaller than the sum of its proper divisors (142202560).

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

101881280 is a wasteful number, since it uses less digits than its factorization.

101881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 29.

The square root of 101881280 is about 10093.6257113091. The cubic root of 101881280 is about 467.0515283210.

The spelling of 101881280 in words is "one hundred one million, eight hundred eighty-one thousand, two hundred eighty".