105087338907 has 32 divisors (see below), whose sum is σ = 152583346944. Its totient is φ = 64072320000.

The previous prime is 105087338903. The next prime is 105087338959. The reversal of 105087338907 is 709833780501.

It is not a de Polignac number, because 105087338907 - 2² = 105087338903 is a prime.

It is a super-2 number, since 2×105087338907² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 105087338907.

It is not an unprimeable number, because it can be changed into a prime (105087338903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424728 + ... + 624954.

It is an arithmetic number, because the mean of its divisors is an integer number (4768229592).

Almost surely, 2^105087338907 is an apocalyptic number.

105087338907 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105087338907 is a deficient number, since it is larger than the sum of its proper divisors (47496008037).

105087338907 is a wasteful number, since it uses less digits than its factorization.

105087338907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200539.

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 105087338907 in words is "one hundred five billion, eighty-seven million, three hundred thirty-eight thousand, nine hundred seven".