101032000 has 112 divisors (see below), whose sum is σ = 255099312. Its totient is φ = 39628800.

The previous prime is 101031943. The next prime is 101032033. The reversal of 101032000 is 230101.

It can be written as a sum of positive squares in 8 ways, for example, as 10705984 + 90326016 = 3272^2 + 9504^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583914 + ... + 584086.

Almost surely, 2^101032000 is an apocalyptic number.

101032000 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 101032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127549656).

101032000 is an abundant number, since it is smaller than the sum of its proper divisors (154067312).

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

101032000 is an equidigital number, since it uses as much as digits as its factorization.

101032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 101032000 is about 10051.4675545415. The cubic root of 101032000 is about 465.7501285258.

Adding to 101032000 its reverse (230101), we get a palindrome (101262101).

The spelling of 101032000 in words is "one hundred one million, thirty-two thousand".