106573300 has 18 divisors (see below), whose sum is σ = 231264278. Its totient is φ = 42629280.

The previous prime is 106573277. The next prime is 106573321. The reversal of 106573300 is 3375601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 105719524 = 924^2 + 10282^2 .

It is a super-2 number, since 2×106573300² = 22715736545780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532767 + ... + 532966.

Almost surely, 2^106573300 is an apocalyptic number.

106573300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106573300 is an abundant number, since it is smaller than the sum of its proper divisors (124690978).

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

106573300 is a wasteful number, since it uses less digits than its factorization.

106573300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065747 (or 1065740 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 106573300 is about 10323.4345060159. The cubic root of 106573300 is about 474.1140271760.

It can be divided in two parts, 106 and 573300, that multiplied together give a triangular number (60769800 = T₁₁₀₂₄).

The spelling of 106573300 in words is "one hundred six million, five hundred seventy-three thousand, three hundred".