100000901 has 16 divisors (see below), whose sum is σ = 134268288. Its totient is φ = 71928000.

The previous prime is 100000891. The next prime is 100000921. The reversal of 100000901 is 109000001.

100000901 = T₁₅₇₃ + T₁₅₇₄ + ... + T₁₆₄₉.

It is a cyclic number.

It is not a de Polignac number, because 100000901 - 2⁶ = 100000837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48950 + ... + 50951.

It is an arithmetic number, because the mean of its divisors is an integer number (8391768).

Almost surely, 2^100000901 is an apocalyptic number.

100000901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000901 is a deficient number, since it is larger than the sum of its proper divisors (34267387).

100000901 is a wasteful number, since it uses less digits than its factorization.

100000901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99932.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 100000901 is about 10000.0450498985. The cubic root of 100000901 is about 464.1602773809.

Adding to 100000901 its reverse (109000001), we get a palindrome (209000902).

The spelling of 100000901 in words is "one hundred million, nine hundred one", and thus it is an aban number.