101288000 has 112 divisors (see below), whose sum is σ = 273881088. Its totient is φ = 36800000.

The previous prime is 101287997. The next prime is 101288003. The reversal of 101288000 is 882101.

It is an interprime number because it is at equal distance from previous prime (101287997) and next prime (101288003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101288003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87425 + ... + 88575.

Almost surely, 2^101288000 is an apocalyptic number.

101288000 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 101288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

101288000 is an abundant number, since it is smaller than the sum of its proper divisors (172593088).

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

101288000 is a wasteful number, since it uses less digits than its factorization.

101288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 101288000 is about 10064.1939567955. The cubic root of 101288000 is about 466.1431771606.

The spelling of 101288000 in words is "one hundred one million, two hundred eighty-eight thousand".