102541001430400 has 96 divisors (see below), whose sum is σ = 272793572906400. Its totient is φ = 37861292820480.

The previous prime is 102541001430349. The next prime is 102541001430493. The reversal of 102541001430400 is 4034100145201.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1232422360 + ... + 1232505559.

It is an arithmetic number, because the mean of its divisors is an integer number (2841599717775).

Almost surely, 2^{102541001430400} is an apocalyptic number.

102541001430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102541001430400 is an abundant number, since it is smaller than the sum of its proper divisors (170252571476000).

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

102541001430400 is a wasteful number, since it uses less digits than its factorization.

102541001430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464927956 (or 2464927939 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 102541001430400 its reverse (4034100145201), we get a palindrome (106575101575601).

The spelling of 102541001430400 in words is "one hundred two trillion, five hundred forty-one billion, one million, four hundred thirty thousand, four hundred".