102950241395040 has 768 divisors, whose sum is σ = 397770802410240. Its totient is φ = 24707146383360.

The previous prime is 102950241395021. The next prime is 102950241395047. The reversal of 102950241395040 is 40593142059201.

It is a happy number.

102950241395040 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 5 + 0 + 2 + 4 + 139 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102950241395047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3677174322 + ... + 3677202318.

It is an arithmetic number, because the mean of its divisors is an integer number (517930732305).

Almost surely, 2^{102950241395040} is an apocalyptic number.

102950241395040 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 102950241395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198885401205120).

102950241395040 is an abundant number, since it is smaller than the sum of its proper divisors (294820561015200).

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

102950241395040 is a wasteful number, since it uses less digits than its factorization.

102950241395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29672 (or 29658 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 102950241395040 in words is "one hundred two trillion, nine hundred fifty billion, two hundred forty-one million, three hundred ninety-five thousand, forty".