102114030400 has 84 divisors (see below), whose sum is σ = 251676646252. Its totient is φ = 40778588160.

The previous prime is 102114030391. The next prime is 102114030437. The reversal of 102114030400 is 4030411201.

It can be written as a sum of positive squares in 6 ways, for example, as 39929630976 + 62184399424 = 199824^2 + 249368^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928744 + ... + 1032856.

Almost surely, 2^102114030400 is an apocalyptic number.

102114030400 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 102114030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125838323126).

102114030400 is an abundant number, since it is smaller than the sum of its proper divisors (149562615852).

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

102114030400 is a wasteful number, since it uses less digits than its factorization.

102114030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104748 (or 104733 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102114030400 its reverse (4030411201), we get a palindrome (106144441601).

The spelling of 102114030400 in words is "one hundred two billion, one hundred fourteen million, thirty thousand, four hundred".