100083641 has 16 divisors (see below), whose sum is σ = 122580864. Its totient is φ = 79759104.

The previous prime is 100083637. The next prime is 100083653. The reversal of 100083641 is 146380001.

It is not a de Polignac number, because 100083641 - 2² = 100083637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100088641) 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, 4811 + ... + 14943.

It is an arithmetic number, because the mean of its divisors is an integer number (7661304).

Almost surely, 2^100083641 is an apocalyptic number.

It is an amenable number.

100083641 is a deficient number, since it is larger than the sum of its proper divisors (22497223).

100083641 is a wasteful number, since it uses less digits than its factorization.

100083641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 100083641 is about 10004.1811758884. The cubic root of 100083641 is about 464.2882563422.

The spelling of 100083641 in words is "one hundred million, eighty-three thousand, six hundred forty-one".