102016616160240 has 640 divisors, whose sum is σ = 363223866470400. Its totient is φ = 26637191387136.

The previous prime is 102016616160233. The next prime is 102016616160257. The reversal of 102016616160240 is 42061616610201.

102016616160240 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 6 + 6 + 1 + 6 + 1 + 602 + 40 = 666.

It is a super-2 number, since 2×102016616160240² (a number of 29 digits) contains 22 as substring.

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 = 102016616160195 and 102016616160204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1603826517 + ... + 1603890123.

It is an arithmetic number, because the mean of its divisors is an integer number (567537291360).

Almost surely, 2^{102016616160240} is an apocalyptic number.

102016616160240 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 102016616160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181611933235200).

102016616160240 is an abundant number, since it is smaller than the sum of its proper divisors (261207250310160).

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

102016616160240 is an equidigital number, since it uses as much as digits as its factorization.

102016616160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63833 (or 63809 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 102016616160240 in words is "one hundred two trillion, sixteen billion, six hundred sixteen million, one hundred sixty thousand, two hundred forty".