101890880 has 112 divisors (see below), whose sum is σ = 298704000. Its totient is φ = 32237568.

The previous prime is 101890861. The next prime is 101890889. The reversal of 101890880 is 88098101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 101890880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101890889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27371 + ... + 30869.

It is an arithmetic number, because the mean of its divisors is an integer number (2667000).

Almost surely, 2^101890880 is an apocalyptic number.

101890880 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 101890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352000).

101890880 is an abundant number, since it is smaller than the sum of its proper divisors (196813120).

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

101890880 is a wasteful number, since it uses less digits than its factorization.

101890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 101890880 is about 10094.1012477585. The cubic root of 101890880 is about 467.0661975315.

The spelling of 101890880 in words is "one hundred one million, eight hundred ninety thousand, eight hundred eighty".