105002000 has 40 divisors (see below), whose sum is σ = 253899672. Its totient is φ = 42000000.

The previous prime is 105001951. The next prime is 105002033. The reversal of 105002000 is 200501.

It can be written as a sum of positive squares in 4 ways, for example, as 10445824 + 94556176 = 3232^2 + 9724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105002000² = 22050840008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24251 + ... + 28250.

Almost surely, 2^105002000 is an apocalyptic number.

105002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105002000 is an abundant number, since it is smaller than the sum of its proper divisors (148897672).

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

105002000 is an equidigital number, since it uses as much as digits as its factorization.

105002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52524 (or 52508 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 105002000 is about 10247.0483555022. The cubic root of 105002000 is about 471.7723933739.

Adding to 105002000 its reverse (200501), we get a palindrome (105202501).

The spelling of 105002000 in words is "one hundred five million, two thousand".