100746320 has 20 divisors (see below), whose sum is σ = 234235380. Its totient is φ = 40298496.

The previous prime is 100746299. The next prime is 100746329. The reversal of 100746320 is 23647001.

It can be written as a sum of positive squares in 2 ways, for example, as 14776336 + 85969984 = 3844^2 + 9272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100746329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629585 + ... + 629744.

It is an arithmetic number, because the mean of its divisors is an integer number (11711769).

Almost surely, 2^100746320 is an apocalyptic number.

100746320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100746320 is an abundant number, since it is smaller than the sum of its proper divisors (133489060).

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

100746320 is a wasteful number, since it uses less digits than its factorization.

100746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259342 (or 1259336 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 100746320 is about 10037.2466344113. The cubic root of 100746320 is about 465.3107261444.

The spelling of 100746320 in words is "one hundred million, seven hundred forty-six thousand, three hundred twenty".