1007648100 has 108 divisors (see below), whose sum is σ = 3275474384. Its totient is φ = 268699680.

The previous prime is 1007648093. The next prime is 1007648143. The reversal of 1007648100 is 18467001.

It is a happy number.

1007648100 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 648 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1007648100² = 2030709386867220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3567 + ... + 45033.

Almost surely, 2^1007648100 is an apocalyptic number.

1007648100 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 1007648100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637737192).

1007648100 is an abundant number, since it is smaller than the sum of its proper divisors (2267826284).

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

1007648100 is a wasteful number, since it uses less digits than its factorization.

1007648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41496 (or 41477 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1007648100 is about 31743.4733449256. The cubic root of 1007648100 is about 1002.5428948713.

The spelling of 1007648100 in words is "one billion, seven million, six hundred forty-eight thousand, one hundred".