105537664 has 16 divisors (see below), whose sum is σ = 210251070. Its totient is φ = 52768768.

The previous prime is 105537659. The next prime is 105537667. The reversal of 105537664 is 466735501.

It can be written as a sum of positive squares in only one way, i.e., 53582400 + 51955264 = 7320^2 + 7208^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105537664² = 22276397045153792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105537667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412129 + ... + 412384.

Almost surely, 2^105537664 is an apocalyptic number.

It is an amenable number.

105537664 is a deficient number, since it is larger than the sum of its proper divisors (104713406).

105537664 is an frugal number, since it uses more digits than its factorization.

105537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824527 (or 824515 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 105537664 is about 10273.1525833115. The cubic root of 105537664 is about 472.5732764308.

The spelling of 105537664 in words is "one hundred five million, five hundred thirty-seven thousand, six hundred sixty-four".