100201040 has 40 divisors (see below), whose sum is σ = 236798088. Its totient is φ = 39421440.

The previous prime is 100201037. The next prime is 100201063. The reversal of 100201040 is 40102001.

It can be written as a sum of positive squares in 4 ways, for example, as 1317904 + 98883136 = 1148^2 + 9944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5387 + ... + 15146.

Almost surely, 2^100201040 is an apocalyptic number.

100201040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201040 is an abundant number, since it is smaller than the sum of its proper divisors (136597048).

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

100201040 is a wasteful number, since it uses less digits than its factorization.

100201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20607 (or 20601 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100201040 is about 10010.0469529368. The cubic root of 100201040 is about 464.4697234896.

Adding to 100201040 its reverse (40102001), we get a palindrome (140303041).

The spelling of 100201040 in words is "one hundred million, two hundred one thousand, forty".