106537300 has 72 divisors (see below), whose sum is σ = 253343160. Its totient is φ = 38707200.

The previous prime is 106537259. The next prime is 106537307. The reversal of 106537300 is 3735601.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9947716 + 96589584 = 3154^2 + 9828^2 .

It is a super-2 number, since 2×106537300² = 22700392582580000, 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 not an unprimeable number, because it can be changed into a prime (106537307) 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, 48220 + ... + 50380.

It is an arithmetic number, because the mean of its divisors is an integer number (3518655).

Almost surely, 2^106537300 is an apocalyptic number.

106537300 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 106537300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126671580).

106537300 is an abundant number, since it is smaller than the sum of its proper divisors (146805860).

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

106537300 is a wasteful number, since it uses less digits than its factorization.

106537300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2214 counting only the distinct ones).

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

The square root of 106537300 is about 10321.6907529726. The cubic root of 106537300 is about 474.0606366076.

The spelling of 106537300 in words is "one hundred six million, five hundred thirty-seven thousand, three hundred".