102111024 has 80 divisors (see below), whose sum is σ = 274617344. Its totient is φ = 32659200.

The previous prime is 102110971. The next prime is 102111029. The reversal of 102111024 is 420111201.

It is a happy number.

It is a Cunningham number, because it is equal to 10105²-1.

It is a super-2 number, since 2×102111024² = 20853322444657152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102111029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242334 + ... + 242754.

Almost surely, 2^102111024 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 102111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137308672).

102111024 is an abundant number, since it is smaller than the sum of its proper divisors (172506320).

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

102111024 is a wasteful number, since it uses less digits than its factorization.

102111024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102111024 is about 10104.9999505195. Note that the first 4 decimals coincide. The cubic root of 102111024 is about 467.4023344457.

Adding to 102111024 its reverse (420111201), we get a palindrome (522222225).

The spelling of 102111024 in words is "one hundred two million, one hundred eleven thousand, twenty-four".