100201005 has 24 divisors (see below), whose sum is σ = 176962968. Its totient is φ = 52430976.

The previous prime is 100200967. The next prime is 100201037. The reversal of 100201005 is 500102001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28933641 + 71267364 = 5379^2 + 8442^2 .

It is not a de Polignac number, because 100201005 - 2⁹ = 100200493 is a prime.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18622 + ... + 23391.

It is an arithmetic number, because the mean of its divisors is an integer number (7373457).

Almost surely, 2^100201005 is an apocalyptic number.

100201005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100201005 is a deficient number, since it is larger than the sum of its proper divisors (76761963).

100201005 is a wasteful number, since it uses less digits than its factorization.

100201005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42077 (or 42074 counting only the distinct ones).

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

The square root of 100201005 is about 10010.0452046931. The cubic root of 100201005 is about 464.4696694102.

Adding to 100201005 its reverse (500102001), we get a palindrome (600303006).

It can be divided in two parts, 10020 and 1005, that added together give a square (11025 = 105²).

The spelling of 100201005 in words is "one hundred million, two hundred one thousand, five".