106145280 has 240 divisors, whose sum is σ = 390671424. Its totient is φ = 26542080.

The previous prime is 106145261. The next prime is 106145287. The reversal of 106145280 is 82541601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106145280² = 22533640932556800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106145287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391545 + ... + 391815.

Almost surely, 2^106145280 is an apocalyptic number.

106145280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195335712).

106145280 is an abundant number, since it is smaller than the sum of its proper divisors (284526144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106145280 is a wasteful number, since it uses less digits than its factorization.

106145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106145280 is about 10302.6831456665. The cubic root of 106145280 is about 473.4784628479.

Adding to 106145280 its reverse (82541601), we get a palindrome (188686881).

The spelling of 106145280 in words is "one hundred six million, one hundred forty-five thousand, two hundred eighty".