101942880 has 288 divisors, whose sum is σ = 378356832. Its totient is φ = 22855680.

The previous prime is 101942873. The next prime is 101942887. The reversal of 101942880 is 88249101.

It is an interprime number because it is at equal distance from previous prime (101942873) and next prime (101942887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101942887) 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, 3288465 + ... + 3288495.

It is an arithmetic number, because the mean of its divisors is an integer number (1313739).

Almost surely, 2^101942880 is an apocalyptic number.

101942880 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 101942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189178416).

101942880 is an abundant number, since it is smaller than the sum of its proper divisors (276413952).

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

101942880 is a wasteful number, since it uses less digits than its factorization.

101942880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 101942880 is about 10096.6766809679. The cubic root of 101942880 is about 467.1456397471.

The spelling of 101942880 in words is "one hundred one million, nine hundred forty-two thousand, eight hundred eighty".