102116400 has 120 divisors (see below), whose sum is σ = 334889280. Its totient is φ = 26584320.

The previous prime is 102116369. The next prime is 102116401. The reversal of 102116400 is 4611201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102116400.

It is not an unprimeable number, because it can be changed into a prime (102116401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50611 + ... + 52589.

It is an arithmetic number, because the mean of its divisors is an integer number (2790744).

Almost surely, 2^102116400 is an apocalyptic number.

102116400 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 102116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167444640).

102116400 is an abundant number, since it is smaller than the sum of its proper divisors (232772880).

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

102116400 is a wasteful number, since it uses less digits than its factorization.

102116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102116400 is about 10105.2659539470. The cubic root of 102116400 is about 467.4105369909.

Adding to 102116400 its reverse (4611201), we get a palindrome (106727601).

The spelling of 102116400 in words is "one hundred two million, one hundred sixteen thousand, four hundred".