106537280 has 42 divisors (see below), whose sum is σ = 254132334. Its totient is φ = 42541056.

The previous prime is 106537259. The next prime is 106537307. The reversal of 106537280 is 82735601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 77721856 + 28815424 = 8816^2 + 5368^2 .

It is a super-2 number, since 2×106537280² = 22700384059596800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 184352 + ... + 184928.

Almost surely, 2^106537280 is an apocalyptic number.

106537280 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 106537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127066167).

106537280 is an abundant number, since it is smaller than the sum of its proper divisors (147595054).

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

106537280 is an frugal number, since it uses more digits than its factorization.

106537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 106537280 is about 10321.6897841390. The cubic root of 106537280 is about 474.0606069429.

The spelling of 106537280 in words is "one hundred six million, five hundred thirty-seven thousand, two hundred eighty".