101941200 has 120 divisors (see below), whose sum is σ = 362873600. Its totient is φ = 27181440.

The previous prime is 101941193. The next prime is 101941243. The reversal of 101941200 is 2149101.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 6081 + ... + 15519.

Almost surely, 2^101941200 is an apocalyptic number.

101941200 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 101941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181436800).

101941200 is an abundant number, since it is smaller than the sum of its proper divisors (260932400).

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

101941200 is a wasteful number, since it uses less digits than its factorization.

101941200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101941200 is about 10096.5934849334. The cubic root of 101941200 is about 467.1430735748.

The spelling of 101941200 in words is "one hundred one million, nine hundred forty-one thousand, two hundred".