102144952 has 96 divisors (see below), whose sum is σ = 243492480. Its totient is φ = 39312000.

The previous prime is 102144943. The next prime is 102144953. The reversal of 102144952 is 259441201.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102144952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102144953) 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, 406827 + ... + 407077.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380).

Almost surely, 2^102144952 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 102144952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121746240).

102144952 is an abundant number, since it is smaller than the sum of its proper divisors (141347528).

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

102144952 is a wasteful number, since it uses less digits than its factorization.

102144952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 102144952 is about 10106.6785839859. The cubic root of 102144952 is about 467.4540959818.

The spelling of 102144952 in words is "one hundred two million, one hundred forty-four thousand, nine hundred fifty-two".