105187263490 has 32 divisors (see below), whose sum is σ = 194974401600. Its totient is φ = 40834632384.

The previous prime is 105187263449. The next prime is 105187263521. The reversal of 105187263490 is 94362781501.

It is a super-2 number, since 2×105187263490² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105187263490.

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, 711540 + ... + 846559.

It is an arithmetic number, because the mean of its divisors is an integer number (6092950050).

It is a 2-persistent number, because it is pandigital, and so is 2⋅105187263490 = 210374526980, but 3⋅105187263490 = 315561790470 is not.

Almost surely, 2^105187263490 is an apocalyptic number.

105187263490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105187263490 is a deficient number, since it is larger than the sum of its proper divisors (89787138110).

105187263490 is a wasteful number, since it uses less digits than its factorization.

105187263490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558306.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 105187263490 in words is "one hundred five billion, one hundred eighty-seven million, two hundred sixty-three thousand, four hundred ninety".