101096000 has 56 divisors (see below), whose sum is σ = 250384056. Its totient is φ = 40435200.

The previous prime is 101095987. The next prime is 101096003. The reversal of 101096000 is 690101.

It can be written as a sum of positive squares in 4 ways, for example, as 18939904 + 82156096 = 4352^2 + 9064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101096000.

It is not an unprimeable number, because it can be changed into a prime (101096003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1682 + ... + 14318.

Almost surely, 2^101096000 is an apocalyptic number.

101096000 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 101096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125192028).

101096000 is an abundant number, since it is smaller than the sum of its proper divisors (149288056).

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

101096000 is an equidigital number, since it uses as much as digits as its factorization.

101096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 101096000 is about 10054.6506652394. The cubic root of 101096000 is about 465.8484528730.

The spelling of 101096000 in words is "one hundred one million, ninety-six thousand".