101360820 has 192 divisors, whose sum is σ = 333849600. Its totient is φ = 22717440.

The previous prime is 101360789. The next prime is 101360821. The reversal of 101360820 is 28063101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101360821) 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 63 ways as a sum of consecutive naturals, for example, 739792 + ... + 739928.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^101360820 is an apocalyptic number.

101360820 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 101360820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924800).

101360820 is an abundant number, since it is smaller than the sum of its proper divisors (232488780).

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

101360820 is a wasteful number, since it uses less digits than its factorization.

101360820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101360820 is about 10067.8110828521. The cubic root of 101360820 is about 466.2548600672.

The spelling of 101360820 in words is "one hundred one million, three hundred sixty thousand, eight hundred twenty".