102103455744 has 384 divisors, whose sum is σ = 327201638400. Its totient is φ = 31337349120.

The previous prime is 102103455721. The next prime is 102103455787. The reversal of 102103455744 is 447554301201.

102103455744 is a `hidden beast` number, since 10 + 21 + 0 + 34 + 557 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102103455699 and 102103455708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44180349 + ... + 44182659.

It is an arithmetic number, because the mean of its divisors is an integer number (852087600).

Almost surely, 2^102103455744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103455744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163600819200).

102103455744 is an abundant number, since it is smaller than the sum of its proper divisors (225098182656).

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

102103455744 is a wasteful number, since it uses less digits than its factorization.

102103455744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 102103455744 its reverse (447554301201), we get a palindrome (549657756945).

It can be divided in two parts, 1021034 and 55744, that added together give a triangular number (1076778 = T₁₄₆₇).

The spelling of 102103455744 in words is "one hundred two billion, one hundred three million, four hundred fifty-five thousand, seven hundred forty-four".