2100146688 has 60 divisors (see below), whose sum is σ = 6061178838. Its totient is φ = 700047360.

The previous prime is 2100146669. The next prime is 2100146693. The reversal of 2100146688 is 8866410012.

It can be written as a sum of positive squares in only one way, i.e., 1747908864 + 352237824 = 41808^2 + 18768^2 .

It is a super-2 number, since 2×2100146688² = 8821232222234738688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 223273 + ... + 232488.

Almost surely, 2^2100146688 is an apocalyptic number.

It is an amenable number.

2100146688 is an abundant number, since it is smaller than the sum of its proper divisors (3961032150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100146688 is an equidigital number, since it uses as much as digits as its factorization.

2100146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455785 (or 455766 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2100146688 is about 45827.3574189043. The cubic root of 2100146688 is about 1280.6089810546.

The spelling of 2100146688 in words is "two billion, one hundred million, one hundred forty-six thousand, six hundred eighty-eight".