101468600 has 48 divisors (see below), whose sum is σ = 237302520. Its totient is φ = 40348800.

The previous prime is 101468599. The next prime is 101468603. The reversal of 101468600 is 6864101.

It is a self number, because there is not a number n which added to its sum of digits gives 101468600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101468603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34799 + ... + 37601.

Almost surely, 2^101468600 is an apocalyptic number.

101468600 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 101468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118651260).

101468600 is an abundant number, since it is smaller than the sum of its proper divisors (135833920).

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

101468600 is a wasteful number, since it uses less digits than its factorization.

101468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 101468600 is about 10073.1623634289. The cubic root of 101468600 is about 466.4200624518.

The spelling of 101468600 in words is "one hundred one million, four hundred sixty-eight thousand, six hundred".