105350144 has 22 divisors (see below), whose sum is σ = 210599454. Its totient is φ = 52674560.

The previous prime is 105350131. The next prime is 105350177. The reversal of 105350144 is 441053501.

It can be written as a sum of positive squares in only one way, i.e., 102252544 + 3097600 = 10112^2 + 1760^2 .

It is a super-2 number, since 2×105350144² = 22197305681641472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50417 + ... + 52464.

Almost surely, 2^105350144 is an apocalyptic number.

It is an amenable number.

105350144 is a deficient number, since it is larger than the sum of its proper divisors (105249310).

105350144 is an equidigital number, since it uses as much as digits as its factorization.

105350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102901 (or 102883 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105350144 is about 10264.0218238271. The cubic root of 105350144 is about 472.2932200845.

The spelling of 105350144 in words is "one hundred five million, three hundred fifty thousand, one hundred forty-four".