102113100 has 108 divisors (see below), whose sum is σ = 334051536. Its totient is φ = 26040960.

The previous prime is 102113047. The next prime is 102113111. The reversal of 102113100 is 1311201.

It is a super-2 number, since 2×102113100² = 20854170383220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18234 + ... + 23166.

Almost surely, 2^102113100 is an apocalyptic number.

102113100 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 102113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167025768).

102113100 is an abundant number, since it is smaller than the sum of its proper divisors (231938436).

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

102113100 is a wasteful number, since it uses less digits than its factorization.

102113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4966 counting only the distinct ones).

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

The square root of 102113100 is about 10105.1026714230. The cubic root of 102113100 is about 467.4055019805.

Adding to 102113100 its reverse (1311201), we get a palindrome (103424301).

The spelling of 102113100 in words is "one hundred two million, one hundred thirteen thousand, one hundred".