101187150 has 48 divisors (see below), whose sum is σ = 254150400. Its totient is φ = 26638560.

The previous prime is 101187113. The next prime is 101187157. The reversal of 101187150 is 51781101.

It is a self number, because there is not a number n which added to its sum of digits gives 101187150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101187157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7581 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (5294800).

Almost surely, 2^101187150 is an apocalyptic number.

101187150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101187150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127075200).

101187150 is an abundant number, since it is smaller than the sum of its proper divisors (152963250).

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

101187150 is a wasteful number, since it uses less digits than its factorization.

101187150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 24.

The square root of 101187150 is about 10059.1823723402. The cubic root of 101187150 is about 465.9884166412.

The spelling of 101187150 in words is "one hundred one million, one hundred eighty-seven thousand, one hundred fifty".