10538100 has 90 divisors (see below), whose sum is σ = 34186614. Its totient is φ = 2808000.

The previous prime is 10538089. The next prime is 10538111. The reversal of 10538100 is 183501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10538089) and next prime (10538111).

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 10381284 = 396^2 + 3222^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10538100² = 222103103220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7450 + ... + 8750.

Almost surely, 2^10538100 is an apocalyptic number.

10538100 is a gapful number since it is divisible by the number (10) 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 10538100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093307).

10538100 is an abundant number, since it is smaller than the sum of its proper divisors (23648514).

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

10538100 is a wasteful number, since it uses less digits than its factorization.

10538100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10538100 is about 3246.2439834369. The cubic root of 10538100 is about 219.2404939219.

The spelling of 10538100 in words is "ten million, five hundred thirty-eight thousand, one hundred".