106389776 has 20 divisors (see below), whose sum is σ = 206940252. Its totient is φ = 52985856.

The previous prime is 106389749. The next prime is 106389781. The reversal of 106389776 is 677983601.

It can be written as a sum of positive squares in 2 ways, for example, as 85008400 + 21381376 = 9220^2 + 4624^2 .

It is a super-2 number, since 2×106389776² = 22637568874660352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106389776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8825 + ... + 17048.

Almost surely, 2^106389776 is an apocalyptic number.

106389776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106389776 is a deficient number, since it is larger than the sum of its proper divisors (100550476).

106389776 is a wasteful number, since it uses less digits than its factorization.

106389776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26138 (or 26132 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 106389776 is about 10314.5419675330. The cubic root of 106389776 is about 473.8417222730.

The spelling of 106389776 in words is "one hundred six million, three hundred eighty-nine thousand, seven hundred seventy-six".