10070323200 has 702 divisors, whose sum is σ = 42146823264. Its totient is φ = 2291466240.

The previous prime is 10070323183. The next prime is 10070323213. The reversal of 10070323200 is 232307001.

It is a Cunningham number, because it is equal to 100351²-1.

It is a super-2 number, since 2×10070323200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 45158289 + ... + 45158511.

Almost surely, 2^10070323200 is an apocalyptic number.

10070323200 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 10070323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073411632).

10070323200 is an abundant number, since it is smaller than the sum of its proper divisors (32076500064).

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

10070323200 is a wasteful number, since it uses less digits than its factorization.

10070323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 10070323200 in words is "ten billion, seventy million, three hundred twenty-three thousand, two hundred".