101158200 has 384 divisors, whose sum is σ = 412473600. Its totient is φ = 22464000.

The previous prime is 101158199. The next prime is 101158207. The reversal of 101158200 is 2851101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101158207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772135 + ... + 772265.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^101158200 is an apocalyptic number.

101158200 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 101158200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

101158200 is an abundant number, since it is smaller than the sum of its proper divisors (311315400).

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

101158200 is a wasteful number, since it uses less digits than its factorization.

101158200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 101158200 is about 10057.7432856481. The cubic root of 101158200 is about 465.9439720933.

The spelling of 101158200 in words is "one hundred one million, one hundred fifty-eight thousand, two hundred".