101042000 has 80 divisors (see below), whose sum is σ = 257275200. Its totient is φ = 38275200.

The previous prime is 101041991. The next prime is 101042023. The reversal of 101042000 is 240101.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

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 15 ways as a sum of consecutive naturals, for example, 36671 + ... + 39329.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^101042000 is an apocalyptic number.

101042000 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 101042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

101042000 is an abundant number, since it is smaller than the sum of its proper divisors (156233200).

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

101042000 is a wasteful number, since it uses less digits than its factorization.

101042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 101042000 is about 10051.9649820321. The cubic root of 101042000 is about 465.7654944416.

Adding to 101042000 its reverse (240101), we get a palindrome (101282101).

The spelling of 101042000 in words is "one hundred one million, forty-two thousand".