10019052 has 90 divisors (see below), whose sum is σ = 28083132. Its totient is φ = 3113856.

The previous prime is 10019041. The next prime is 10019057. The reversal of 10019052 is 25091001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10019057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 93583 + ... + 93689.

Almost surely, 2^10019052 is an apocalyptic number.

10019052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041566).

10019052 is an abundant number, since it is smaller than the sum of its proper divisors (18064080).

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

10019052 is a wasteful number, since it uses less digits than its factorization.

10019052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10019052 is about 3165.2886124333. The cubic root of 10019052 is about 215.5802031703.

The spelling of 10019052 in words is "ten million, nineteen thousand, fifty-two".