105012249390 has 32 divisors (see below), whose sum is σ = 280032665760. Its totient is φ = 28003266432.

The previous prime is 105012249389. The next prime is 105012249401. The reversal of 105012249390 is 93942210501.

105012249390 is a `hidden beast` number, since 1 + 0 + 501 + 22 + 49 + 3 + 90 = 666.

It is a super-2 number, since 2×105012249390² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 194466859 + ... + 194467398.

It is an arithmetic number, because the mean of its divisors is an integer number (8751020805).

Almost surely, 2^105012249390 is an apocalyptic number.

105012249390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105012249390 is an abundant number, since it is smaller than the sum of its proper divisors (175020416370).

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

105012249390 is a wasteful number, since it uses less digits than its factorization.

105012249390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388934273 (or 388934267 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 105012249390 its reverse (93942210501), we get a palindrome (198954459891).

The spelling of 105012249390 in words is "one hundred five billion, twelve million, two hundred forty-nine thousand, three hundred ninety".