101364900 has 288 divisors, whose sum is σ = 373309440. Its totient is φ = 20666880.

The previous prime is 101364881. The next prime is 101364911. The reversal of 101364900 is 9463101.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1283061 + ... + 1283139.

Almost surely, 2^101364900 is an apocalyptic number.

101364900 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 101364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186654720).

101364900 is an abundant number, since it is smaller than the sum of its proper divisors (271944540).

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

101364900 is a wasteful number, since it uses less digits than its factorization.

101364900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 101364900 is about 10068.0137067845. The cubic root of 101364900 is about 466.2611159173.

The spelling of 101364900 in words is "one hundred one million, three hundred sixty-four thousand, nine hundred".