1007107200 has 648 divisors, whose sum is σ = 4195997715. Its totient is φ = 229785600.

The previous prime is 1007107169. The next prime is 1007107207. The reversal of 1007107200 is 27017001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 655769664 + 351337536 = 25608^2 + 18744^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22440.

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 (1007107207) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59241592 + ... + 59241608.

Almost surely, 2^1007107200 is an apocalyptic number.

1007107200 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 1007107200

1007107200 is an abundant number, since it is smaller than the sum of its proper divisors (3188890515).

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

1007107200 is a wasteful number, since it uses less digits than its factorization.

1007107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1007107200 is about 31734.9523396523. The cubic root of 1007107200 is about 1002.3634762459.

Multiplying 1007107200 by its sum of digits (18), we get a square (18127929600 = 134640²).

1007107200 divided by its sum of digits (18) gives a square (55950400 = 7480²).

Multiplying 1007107200 by its product of nonzero digits (98), we get a square (98696505600 = 314160²).

The spelling of 1007107200 in words is "one billion, seven million, one hundred seven thousand, two hundred".