106045300 has 18 divisors (see below), whose sum is σ = 230118518. Its totient is φ = 42418080.

The previous prime is 106045273. The next prime is 106045307. The reversal of 106045300 is 3540601.

It can be written as a sum of positive squares in 3 ways, for example, as 26977636 + 79067664 = 5194^2 + 8892^2 .

It is a super-2 number, since 2×106045300² = 22491211304180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106045307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530127 + ... + 530326.

Almost surely, 2^106045300 is an apocalyptic number.

106045300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106045300 is an abundant number, since it is smaller than the sum of its proper divisors (124073218).

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

106045300 is a wasteful number, since it uses less digits than its factorization.

106045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060467 (or 1060460 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 106045300 is about 10297.8298684723. The cubic root of 106045300 is about 473.3297570758.

Adding to 106045300 its reverse (3540601), we get a palindrome (109585901).

It can be divided in two parts, 1060 and 45300, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 106045300 in words is "one hundred six million, forty-five thousand, three hundred".