102051046400 has 264 divisors, whose sum is σ = 264471008040. Its totient is φ = 38993920000.

The previous prime is 102051046399. The next prime is 102051046423. The reversal of 102051046400 is 4640150201.

It can be written as a sum of positive squares in 12 ways, for example, as 16187981824 + 85863064576 = 127232^2 + 293024^2 .

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, 74981720 + ... + 74983080.

Almost surely, 2^102051046400 is an apocalyptic number.

102051046400 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 102051046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132235504020).

102051046400 is an abundant number, since it is smaller than the sum of its proper divisors (162419961640).

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

102051046400 is a wasteful number, since it uses less digits than its factorization.

102051046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 102051046400 its reverse (4640150201), we get a palindrome (106691196601).

The spelling of 102051046400 in words is "one hundred two billion, fifty-one million, forty-six thousand, four hundred".