102973824 has 48 divisors (see below), whose sum is σ = 296321220. Its totient is φ = 34324224.

The previous prime is 102973823. The next prime is 102973853. The reversal of 102973824 is 428379201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102973823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43542 + ... + 45845.

Almost surely, 2^102973824 is an apocalyptic number.

It is an amenable number.

102973824 is an abundant number, since it is smaller than the sum of its proper divisors (193347396).

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

102973824 is an equidigital number, since it uses as much as digits as its factorization.

102973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89407 (or 89392 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 102973824 is about 10147.6018841892. The cubic root of 102973824 is about 468.7151022553.

The spelling of 102973824 in words is "one hundred two million, nine hundred seventy-three thousand, eight hundred twenty-four".