106339200 has 384 divisors, whose sum is σ = 409795200. Its totient is φ = 23961600.

The previous prime is 106339187. The next prime is 106339213. The reversal of 106339200 is 2933601.

It is an interprime number because it is at equal distance from previous prime (106339187) and next prime (106339213).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106339200² = 22616050913280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006374 + ... + 2006426.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^106339200 is an apocalyptic number.

106339200 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 106339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

106339200 is an abundant number, since it is smaller than the sum of its proper divisors (303456000).

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

106339200 is a wasteful number, since it uses less digits than its factorization.

106339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 106339200 is about 10312.0899918494. The cubic root of 106339200 is about 473.7666247766.

The spelling of 106339200 in words is "one hundred six million, three hundred thirty-nine thousand, two hundred".