102241824 has 24 divisors (see below), whose sum is σ = 268385040. Its totient is φ = 34080576.

The previous prime is 102241781. The next prime is 102241847. The reversal of 102241824 is 428142201.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 102241794 and 102241803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 532414 + ... + 532605.

It is an arithmetic number, because the mean of its divisors is an integer number (11182710).

Almost surely, 2^102241824 is an apocalyptic number.

It is an amenable number.

102241824 is an abundant number, since it is smaller than the sum of its proper divisors (166143216).

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

102241824 is a wasteful number, since it uses less digits than its factorization.

102241824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065032 (or 1065024 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 102241824 is about 10111.4699228154. The cubic root of 102241824 is about 467.6018236461.

The spelling of 102241824 in words is "one hundred two million, two hundred forty-one thousand, eight hundred twenty-four".