102311100 has 180 divisors, whose sum is σ = 351633744. Its totient is φ = 25643520.

The previous prime is 102311093. The next prime is 102311119. The reversal of 102311100 is 1113201.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×102311100² = 20935122366420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137329 + ... + 138071.

Almost surely, 2^102311100 is an apocalyptic number.

102311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816872).

102311100 is an abundant number, since it is smaller than the sum of its proper divisors (249322644).

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

102311100 is a wasteful number, since it uses less digits than its factorization.

102311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102311100 is about 10114.8949574378. The cubic root of 102311100 is about 467.7074108025.

Adding to 102311100 its reverse (1113201), we get a palindrome (103424301).

The spelling of 102311100 in words is "one hundred two million, three hundred eleven thousand, one hundred".