101056000 has 80 divisors (see below), whose sum is σ = 252149040. Its totient is φ = 40396800.

The previous prime is 101055979. The next prime is 101056027. The reversal of 101056000 is 650101.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 63211 + ... + 64789.

It is an arithmetic number, because the mean of its divisors is an integer number (3151863).

Almost surely, 2^101056000 is an apocalyptic number.

101056000 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 101056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126074520).

101056000 is an abundant number, since it is smaller than the sum of its proper divisors (151093040).

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

101056000 is an frugal number, since it uses more digits than its factorization.

101056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 101056000 is about 10052.6613391679. The cubic root of 101056000 is about 465.7870050206.

The spelling of 101056000 in words is "one hundred one million, fifty-six thousand".