100105002 has 12 divisors (see below), whose sum is σ = 216894210. Its totient is φ = 33368328.

The previous prime is 100105001. The next prime is 100105003. The reversal of 100105002 is 200501001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100105001) and next prime (100105003).

It can be written as a sum of positive squares in only one way, i.e., 51538041 + 48566961 = 7179^2 + 6969^2 .

It is a super-2 number, since 2×100105002² = 20042022850840008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100105001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2780677 + ... + 2780712.

Almost surely, 2^100105002 is an apocalyptic number.

100105002 is an abundant number, since it is smaller than the sum of its proper divisors (116789208).

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

100105002 is a wasteful number, since it uses less digits than its factorization.

100105002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561397 (or 5561394 counting only the distinct ones).

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

The square root of 100105002 is about 10005.2487225456. The cubic root of 100105002 is about 464.3212852364.

Adding to 100105002 its reverse (200501001), we get a palindrome (300606003).

The spelling of 100105002 in words is "one hundred million, one hundred five thousand, two".