105007150 has 48 divisors (see below), whose sum is σ = 201893328. Its totient is φ = 40608000.

The previous prime is 105007139. The next prime is 105007159. The reversal of 105007150 is 51700501.

It is a super-2 number, since 2×105007150² = 22053003102245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105007159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370909 + ... + 371191.

It is an arithmetic number, because the mean of its divisors is an integer number (4206111).

Almost surely, 2^105007150 is an apocalyptic number.

105007150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105007150 is a deficient number, since it is larger than the sum of its proper divisors (96886178).

105007150 is a wasteful number, since it uses less digits than its factorization.

105007150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 105007150 is about 10247.2996442965. The cubic root of 105007150 is about 471.7801062051.

Adding to 105007150 its reverse (51700501), we get a palindrome (156707651).

The spelling of 105007150 in words is "one hundred five million, seven thousand, one hundred fifty".