102902943386880 has 2160 divisors, whose sum is σ = 464408659083600. Its totient is φ = 21563613904896.

The previous prime is 102902943386821. The next prime is 102902943386891. The reversal of 102902943386880 is 88683349209201.

102902943386880 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 0 + 294 + 338 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6234090137856 + 96668853249024 = 2496816^2 + 9832032^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×102902943386880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9840574612 + ... + 9840585068.

It is an arithmetic number, because the mean of its divisors is an integer number (215004008835).

Almost surely, 2^{102902943386880} is an apocalyptic number.

102902943386880 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 102902943386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232204329541800).

102902943386880 is an abundant number, since it is smaller than the sum of its proper divisors (361505715696720).

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

102902943386880 is a wasteful number, since it uses less digits than its factorization.

102902943386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 102902943386880 in words is "one hundred two trillion, nine hundred two billion, nine hundred forty-three million, three hundred eighty-six thousand, eight hundred eighty".