101142000 has 160 divisors (see below), whose sum is σ = 362506560. Its totient is φ = 26956800.

The previous prime is 101141987. The next prime is 101142001. The reversal of 101142000 is 241101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53064 + ... + 54936.

It is an arithmetic number, because the mean of its divisors is an integer number (2265666).

Almost surely, 2^101142000 is an apocalyptic number.

101142000 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 101142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181253280).

101142000 is an abundant number, since it is smaller than the sum of its proper divisors (261364560).

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

101142000 is a wasteful number, since it uses less digits than its factorization.

101142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101142000 is about 10056.9379037558. The cubic root of 101142000 is about 465.9190978688.

Adding to 101142000 its reverse (241101), we get a palindrome (101383101).

The spelling of 101142000 in words is "one hundred one million, one hundred forty-two thousand".