1007023104 has 308 divisors, whose sum is σ = 3221814240. Its totient is φ = 313528320.

The previous prime is 1007023027. The next prime is 1007023109. The reversal of 1007023104 is 4013207001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007023109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14183389 + ... + 14183459.

Almost surely, 2^1007023104 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 1007023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610907120).

1007023104 is an abundant number, since it is smaller than the sum of its proper divisors (2214791136).

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

1007023104 is an frugal number, since it uses more digits than its factorization.

1007023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1007023104 is about 31733.6273375736. The cubic root of 1007023104 is about 1002.3355755069.

The spelling of 1007023104 in words is "one billion, seven million, twenty-three thousand, one hundred four".