2102152 has 64 divisors (see below), whose sum is σ = 4762800. Its totient is φ = 860160.

The previous prime is 2102143. The next prime is 2102167. The reversal of 2102152 is 2512012.

It can be written as a sum of positive squares in 8 ways, for example, as 427716 + 1674436 = 654^2 + 1294^2 .

It is a super-2 number, since 2×2102152² = 8838086062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51252 + ... + 51292.

2^2102152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381400).

2102152 is an abundant number, since it is smaller than the sum of its proper divisors (2660648).

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

2102152 is a wasteful number, since it uses less digits than its factorization.

2102152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2102152 is about 1449.8799950341. The cubic root of 2102152 is about 128.1016445234.

Adding to 2102152 its reverse (2512012), we get a palindrome (4614164).

It can be divided in two parts, 2 and 102152, that multiplied together give a square (204304 = 452²).

The spelling of 2102152 in words is "two million, one hundred two thousand, one hundred fifty-two".