10100052 has 36 divisors (see below), whose sum is σ = 26478816. Its totient is φ = 3366360.

The previous prime is 10100047. The next prime is 10100089. The reversal of 10100052 is 25000101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10100052² = 204022100805408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4224 + ... + 6167.

Almost surely, 2^10100052 is an apocalyptic number.

10100052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100052 is an abundant number, since it is smaller than the sum of its proper divisors (16378764).

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

10100052 is a wasteful number, since it uses less digits than its factorization.

10100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10100052 is about 3178.0578975217. The cubic root of 10100052 is about 216.1596042602.

Adding to 10100052 its reverse (25000101), we get a palindrome (35100153).

The spelling of 10100052 in words is "ten million, one hundred thousand, fifty-two".