70105200 has 240 divisors, whose sum is σ = 252412416. Its totient is φ = 16486400.

The previous prime is 70105183. The next prime is 70105201. The reversal of 70105200 is 250107.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 70105200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70105201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620344 + ... + 620456.

Almost surely, 2^70105200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126206208).

70105200 is an abundant number, since it is smaller than the sum of its proper divisors (182307216).

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

70105200 is a wasteful number, since it uses less digits than its factorization.

70105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 70105200 is about 8372.8848075200. The cubic root of 70105200 is about 412.3348834105.

Adding to 70105200 its reverse (250107), we get a palindrome (70355307).

The spelling of 70105200 in words is "seventy million, one hundred five thousand, two hundred".