106290945 has 48 divisors (see below), whose sum is σ = 193190400. Its totient is φ = 53988480.

The previous prime is 106290913. The next prime is 106290967. The reversal of 106290945 is 549092601.

It is not a de Polignac number, because 106290945 - 2⁵ = 106290913 is a prime.

It is a super-2 number, since 2×106290945² = 22595529977986050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102580 + ... + 103610.

It is an arithmetic number, because the mean of its divisors is an integer number (4024800).

Almost surely, 2^106290945 is an apocalyptic number.

106290945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106290945 is a deficient number, since it is larger than the sum of its proper divisors (86899455).

106290945 is a wasteful number, since it uses less digits than its factorization.

106290945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106290945 is about 10309.7499969689. The cubic root of 106290945 is about 473.6949514036.

The spelling of 106290945 in words is "one hundred six million, two hundred ninety thousand, nine hundred forty-five".