100146628 has 24 divisors (see below), whose sum is σ = 184285080. Its totient is φ = 47550720.

The previous prime is 100146619. The next prime is 100146649. The reversal of 100146628 is 826641001.

100146628 is a nontrivial binomial coefficient, being equal to C(14153, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 99960004 = 432^2 + 9998^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100146596 and 100146605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 14152.

It is an arithmetic number, because the mean of its divisors is an integer number (7678545).

Almost surely, 2^100146628 is an apocalyptic number.

100146628 is the 14152-nd triangular number.

100146628 is the 4718-th centered nonagonal number.

It is an amenable number.

100146628 is a deficient number, since it is larger than the sum of its proper divisors (84138452).

100146628 is a wasteful number, since it uses less digits than its factorization.

100146628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 100146628 is about 10007.3287144972. The cubic root of 100146628 is about 464.3856348661.

Adding to 100146628 its reverse (826641001), we get a palindrome (926787629).

The spelling of 100146628 in words is "one hundred million, one hundred forty-six thousand, six hundred twenty-eight".