105006962 has 16 divisors (see below), whose sum is σ = 163446360. Its totient is φ = 50554368.

The previous prime is 105006959. The next prime is 105006991. The reversal of 105006962 is 269600501.

It can be written as a sum of positive squares in 4 ways, for example, as 91604041 + 13402921 = 9571^2 + 3661^2 .

It is a super-2 number, since 2×105006962² = 22052924136938888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137 + ... + 14492.

Almost surely, 2^105006962 is an apocalyptic number.

105006962 is a deficient number, since it is larger than the sum of its proper divisors (58439398).

105006962 is a wasteful number, since it uses less digits than its factorization.

105006962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 105006962 is about 10247.2904711441. The cubic root of 105006962 is about 471.7798246537.

The spelling of 105006962 in words is "one hundred five million, six thousand, nine hundred sixty-two".