105102540000 has 180 divisors, whose sum is σ = 373487770656. Its totient is φ = 28027296000.

The previous prime is 105102539987. The next prime is 105102540013. The reversal of 105102540000 is 45201501.

105102540000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105102539987) and next prime (105102540013).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×105102540000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 111952 + ... + 471951.

Almost surely, 2^105102540000 is an apocalyptic number.

105102540000 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 105102540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186743885328).

105102540000 is an abundant number, since it is smaller than the sum of its proper divisors (268385230656).

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

105102540000 is an equidigital number, since it uses as much as digits as its factorization.

105102540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583939 (or 583913 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 105102540000 its reverse (45201501), we get a palindrome (105147741501).

The spelling of 105102540000 in words is "one hundred five billion, one hundred two million, five hundred forty thousand".