102554414400 has 168 divisors, whose sum is σ = 336983389024. Its totient is φ = 27305625600.

The previous prime is 102554414381. The next prime is 102554414419. The reversal of 102554414400 is 4414455201.

It is an interprime number because it is at equal distance from previous prime (102554414381) and next prime (102554414419).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156639 + ... + 3188961.

Almost surely, 2^102554414400 is an apocalyptic number.

102554414400 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 102554414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168491694512).

102554414400 is an abundant number, since it is smaller than the sum of its proper divisors (234428974624).

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

102554414400 is a wasteful number, since it uses less digits than its factorization.

102554414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33009 (or 32994 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 102554414400 its reverse (4414455201), we get a palindrome (106968869601).

The spelling of 102554414400 in words is "one hundred two billion, five hundred fifty-four million, four hundred fourteen thousand, four hundred".