100405764 has 96 divisors (see below), whose sum is σ = 275466240. Its totient is φ = 31562784.

The previous prime is 100405759. The next prime is 100405841. The reversal of 100405764 is 467504001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205929 + ... + 206415.

It is an arithmetic number, because the mean of its divisors is an integer number (2869440).

Almost surely, 2^100405764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100405764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137733120).

100405764 is an abundant number, since it is smaller than the sum of its proper divisors (175060476).

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

100405764 is a wasteful number, since it uses less digits than its factorization.

100405764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 100405764 is about 10020.2676610957. The cubic root of 100405764 is about 464.7858326966.

Adding to 100405764 its reverse (467504001), we get a palindrome (567909765).

The spelling of 100405764 in words is "one hundred million, four hundred five thousand, seven hundred sixty-four".