107029200 has 120 divisors (see below), whose sum is σ = 347497600. Its totient is φ = 28154880.

The previous prime is 107029183. The next prime is 107029213. The reversal of 107029200 is 2920701.

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 2×107029200² = 22910499305280000, which contains 22 as substring.

It is a congruent number.

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, 94236 + ... + 95364.

Almost surely, 2^107029200 is an apocalyptic number.

107029200 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 107029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173748800).

107029200 is an abundant number, since it is smaller than the sum of its proper divisors (240468400).

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

107029200 is a wasteful number, since it uses less digits than its factorization.

107029200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 107029200 is about 10345.4917717816. The cubic root of 107029200 is about 474.7891215365.

Adding to 107029200 its reverse (2920701), we get a palindrome (109949901).

The spelling of 107029200 in words is "one hundred seven million, twenty-nine thousand, two hundred".