101038000 has 120 divisors (see below), whose sum is σ = 284472864. Its totient is φ = 34608000.

The previous prime is 101037997. The next prime is 101038033. The reversal of 101038000 is 830101.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97485 + ... + 98515.

Almost surely, 2^101038000 is an apocalyptic number.

101038000 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 101038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142236432).

101038000 is an abundant number, since it is smaller than the sum of its proper divisors (183434864).

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

101038000 is a wasteful number, since it uses less digits than its factorization.

101038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101038000 is about 10051.7660139898. The cubic root of 101038000 is about 465.7593481969.

Adding to 101038000 its reverse (830101), we get a palindrome (101868101).

The spelling of 101038000 in words is "one hundred one million, thirty-eight thousand".