106257045 has 16 divisors (see below), whose sum is σ = 170870400. Its totient is φ = 56384064.

The previous prime is 106257037. The next prime is 106257061. The reversal of 106257045 is 540752601.

It is not a de Polignac number, because 106257045 - 2³ = 106257037 is a prime.

It is a super-2 number, since 2×106257045² = 22581119224264050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14814 + ... + 20783.

It is an arithmetic number, because the mean of its divisors is an integer number (10679400).

Almost surely, 2^106257045 is an apocalyptic number.

106257045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106257045 is a deficient number, since it is larger than the sum of its proper divisors (64613355).

106257045 is a wasteful number, since it uses less digits than its factorization.

106257045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35804.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 106257045 is about 10308.1057910753. The cubic root of 106257045 is about 473.6445866043.

The spelling of 106257045 in words is "one hundred six million, two hundred fifty-seven thousand, forty-five".