102036038741760 has 288 divisors, whose sum is σ = 326306093460480. Its totient is φ = 27173855084544.

The previous prime is 102036038741729. The next prime is 102036038741773. The reversal of 102036038741760 is 67147830630201.

It is a super-2 number, since 2×102036038741760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18069067257 + ... + 18069072903.

It is an arithmetic number, because the mean of its divisors is an integer number (1133007268960).

Almost surely, 2^{102036038741760} is an apocalyptic number.

102036038741760 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 102036038741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163153046730240).

102036038741760 is an abundant number, since it is smaller than the sum of its proper divisors (224270054718720).

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

102036038741760 is a wasteful number, since it uses less digits than its factorization.

102036038741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 102036038741760 in words is "one hundred two trillion, thirty-six billion, thirty-eight million, seven hundred forty-one thousand, seven hundred sixty".