101285200 has 60 divisors (see below), whose sum is σ = 256164160. Its totient is φ = 38378880.

The previous prime is 101285183. The next prime is 101285203. The reversal of 101285200 is 2582101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101285203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937 + ... + 14263.

Almost surely, 2^101285200 is an apocalyptic number.

101285200 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 101285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128082080).

101285200 is an abundant number, since it is smaller than the sum of its proper divisors (154878960).

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

101285200 is a wasteful number, since it uses less digits than its factorization.

101285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364 (or 13353 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 101285200 is about 10064.0548488172. The cubic root of 101285200 is about 466.1388817755.

The spelling of 101285200 in words is "one hundred one million, two hundred eighty-five thousand, two hundred".