100345664 has 14 divisors (see below), whose sum is σ = 199123554. Its totient is φ = 50172800.

The previous prime is 100345657. The next prime is 100345697. The reversal of 100345664 is 466543001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91393600 + 8952064 = 9560^2 + 2992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 783887 + ... + 784014.

It is an arithmetic number, because the mean of its divisors is an integer number (14223111).

Almost surely, 2^100345664 is an apocalyptic number.

It is an amenable number.

100345664 is a deficient number, since it is larger than the sum of its proper divisors (98777890).

100345664 is an equidigital number, since it uses as much as digits as its factorization.

100345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567913 (or 1567903 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 100345664 is about 10017.2682903075. The cubic root of 100345664 is about 464.6930783808.

Adding to 100345664 its reverse (466543001), we get a palindrome (566888665).

The spelling of 100345664 in words is "one hundred million, three hundred forty-five thousand, six hundred sixty-four".