102150144 has 156 divisors (see below), whose sum is σ = 314337816. Its totient is φ = 31850496.

The previous prime is 102150119. The next prime is 102150197. The reversal of 102150144 is 441051201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626607 + ... + 626769.

It is an arithmetic number, because the mean of its divisors is an integer number (2014986).

Almost surely, 2^102150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157168908).

102150144 is an abundant number, since it is smaller than the sum of its proper divisors (212187672).

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

102150144 is a wasteful number, since it uses less digits than its factorization.

102150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102150144 is about 10106.9354405774. The cubic root of 102150144 is about 467.4620160356.

The spelling of 102150144 in words is "one hundred two million, one hundred fifty thousand, one hundred forty-four".