105146372 has 12 divisors (see below), whose sum is σ = 184771356. Its totient is φ = 52354560.

The previous prime is 105146369. The next prime is 105146381. The reversal of 105146372 is 273641501.

It can be written as a sum of positive squares in 2 ways, for example, as 42198016 + 62948356 = 6496^2 + 7934^2 .

It is a super-2 number, since 2×105146372² = 22111519089524768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53573 + ... + 55500.

It is an arithmetic number, because the mean of its divisors is an integer number (15397613).

Almost surely, 2^105146372 is an apocalyptic number.

It is an amenable number.

105146372 is a deficient number, since it is larger than the sum of its proper divisors (79624984).

105146372 is a wasteful number, since it uses less digits than its factorization.

105146372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109318 (or 109316 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105146372 is about 10254.0905008684. The cubic root of 105146372 is about 471.9885147545.

Adding to 105146372 its reverse (273641501), we get a palindrome (378787873).

The spelling of 105146372 in words is "one hundred five million, one hundred forty-six thousand, three hundred seventy-two".