102535386120 has 288 divisors, whose sum is σ = 345047713920. Its totient is φ = 26395050240.

The previous prime is 102535386097. The next prime is 102535386127. The reversal of 102535386120 is 21683535201.

102535386120 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 5 + 38 + 612 + 0 = 666.

102535386120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (102535386127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105597235 + ... + 105598205.

It is an arithmetic number, because the mean of its divisors is an integer number (1198082340).

Almost surely, 2^102535386120 is an apocalyptic number.

102535386120 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 102535386120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172523856960).

102535386120 is an abundant number, since it is smaller than the sum of its proper divisors (242512327800).

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

102535386120 is a wasteful number, since it uses less digits than its factorization.

102535386120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 102535386120 in words is "one hundred two billion, five hundred thirty-five million, three hundred eighty-six thousand, one hundred twenty".