105030255120 has 80 divisors (see below), whose sum is σ = 372107195520. Its totient is φ = 24006915072.

The previous prime is 105030255103. The next prime is 105030255191. The reversal of 105030255120 is 21552030501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105030255120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31257325 + ... + 31260684.

It is an arithmetic number, because the mean of its divisors is an integer number (4651339944).

Almost surely, 2^105030255120 is an apocalyptic number.

105030255120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105030255120 is an abundant number, since it is smaller than the sum of its proper divisors (267076940400).

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

105030255120 is a wasteful number, since it uses less digits than its factorization.

105030255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62518032 (or 62518026 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 105030255120 its reverse (21552030501), we get a palindrome (126582285621).

The spelling of 105030255120 in words is "one hundred five billion, thirty million, two hundred fifty-five thousand, one hundred twenty".