101380500 has 144 divisors (see below), whose sum is σ = 344622096. Its totient is φ = 24940800.

The previous prime is 101380441. The next prime is 101380519. The reversal of 101380500 is 5083101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 55086084 + 46294416 = 7422^2 + 6804^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57634 + ... + 59366.

It is an arithmetic number, because the mean of its divisors is an integer number (2393209).

Almost surely, 2^101380500 is an apocalyptic number.

101380500 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 101380500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172311048).

101380500 is an abundant number, since it is smaller than the sum of its proper divisors (243241596).

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

101380500 is a wasteful number, since it uses less digits than its factorization.

101380500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101380500 is about 10068.7884077480. The cubic root of 101380500 is about 466.2850337965.

The spelling of 101380500 in words is "one hundred one million, three hundred eighty thousand, five hundred".