100005012 has 36 divisors (see below), whose sum is σ = 263783520. Its totient is φ = 31885392.

The previous prime is 100005001. The next prime is 100005023. The reversal of 100005012 is 210500001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100005001) and next prime (100005023).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 100004985 and 100005003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59562 + ... + 61217.

It is an arithmetic number, because the mean of its divisors is an integer number (7327320).

Almost surely, 2^100005012 is an apocalyptic number.

100005012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100005012 is an abundant number, since it is smaller than the sum of its proper divisors (163778508).

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

100005012 is a wasteful number, since it uses less digits than its factorization.

100005012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120812 (or 120807 counting only the distinct ones).

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

The square root of 100005012 is about 10000.2505968601. The cubic root of 100005012 is about 464.1666377795.

Adding to 100005012 its reverse (210500001), we get a palindrome (310505013).

The spelling of 100005012 in words is "one hundred million, five thousand, twelve".