106237200 has 120 divisors (see below), whose sum is σ = 342700288. Its totient is φ = 28131840.

The previous prime is 106237193. The next prime is 106237259. The reversal of 106237200 is 2732601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106237200² = 22572685327680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267402 + ... + 267798.

Almost surely, 2^106237200 is an apocalyptic number.

106237200 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 106237200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171350144).

106237200 is an abundant number, since it is smaller than the sum of its proper divisors (236463088).

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

106237200 is a wasteful number, since it uses less digits than its factorization.

106237200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106237200 is about 10307.1431541431. The cubic root of 106237200 is about 473.6150981688.

Adding to 106237200 its reverse (2732601), we get a palindrome (108969801).

The spelling of 106237200 in words is "one hundred six million, two hundred thirty-seven thousand, two hundred".