105015120000 has 640 divisors, whose sum is σ = 421915443840. Its totient is φ = 22585344000.

The previous prime is 105015119953. The next prime is 105015120013. The reversal of 105015120000 is 21510501.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×105015120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28558162 + ... + 28561838.

It is an arithmetic number, because the mean of its divisors is an integer number (659242881).

Almost surely, 2^105015120000 is an apocalyptic number.

105015120000 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 105015120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210957721920).

105015120000 is an abundant number, since it is smaller than the sum of its proper divisors (316900323840).

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

105015120000 is an equidigital number, since it uses as much as digits as its factorization.

105015120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 105015120000 its reverse (21510501), we get a palindrome (105036630501).

It can be divided in two parts, 1050 and 15120000, that multiplied together give a square (15876000000 = 126000²).

The spelling of 105015120000 in words is "one hundred five billion, fifteen million, one hundred twenty thousand".