101587200 has 432 divisors, whose sum is σ = 404515776. Its totient is φ = 22118400.

The previous prime is 101587193. The next prime is 101587201. The reversal of 101587200 is 2785101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101587201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2745582 + ... + 2745618.

Almost surely, 2^101587200 is an apocalyptic number.

101587200 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 101587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202257888).

101587200 is an abundant number, since it is smaller than the sum of its proper divisors (302928576).

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

101587200 is a wasteful number, since it uses less digits than its factorization.

101587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 101587200 is about 10079.0475740518. The cubic root of 101587200 is about 466.6017143161.

The spelling of 101587200 in words is "one hundred one million, five hundred eighty-seven thousand, two hundred".