102991824 has 100 divisors (see below), whose sum is σ = 321070596. Its totient is φ = 31684608.

The previous prime is 102991709. The next prime is 102991829. The reversal of 102991824 is 428199201.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 68558400 = 5868^2 + 8280^2 .

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 (102991829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13792 + ... + 19904.

Almost surely, 2^102991824 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 102991824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160535298).

102991824 is an abundant number, since it is smaller than the sum of its proper divisors (218078772).

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

102991824 is a wasteful number, since it uses less digits than its factorization.

102991824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 102991824 is about 10148.4887544895. The cubic root of 102991824 is about 468.7424113971.

The spelling of 102991824 in words is "one hundred two million, nine hundred ninety-one thousand, eight hundred twenty-four".