106243200 has 576 divisors, whose sum is σ = 473541120. Its totient is φ = 22118400.

The previous prime is 106243133. The next prime is 106243201. The reversal of 106243200 is 2342601.

It is a happy number.

106243200 is a `hidden beast` number, since 10 + 624 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106243200² = 22575235092480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106243201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3427185 + ... + 3427215.

It is an arithmetic number, because the mean of its divisors is an integer number (822120).

Almost surely, 2^106243200 is an apocalyptic number.

106243200 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 106243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

106243200 is an abundant number, since it is smaller than the sum of its proper divisors (367297920).

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

106243200 is a wasteful number, since it uses less digits than its factorization.

106243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106243200 is about 10307.4342103164. The cubic root of 106243200 is about 473.6240141829.

Adding to 106243200 its reverse (2342601), we get a palindrome (108585801).

It can be divided in two parts, 10624 and 3200, that added together give a cube (13824 = 24³).

The spelling of 106243200 in words is "one hundred six million, two hundred forty-three thousand, two hundred".