1007100864 has 504 divisors, whose sum is σ = 3865400448. Its totient is φ = 252564480.

The previous prime is 1007100863. The next prime is 1007100877. The reversal of 1007100864 is 4680017001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007100863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34727602 + ... + 34727630.

Almost surely, 2^1007100864 is an apocalyptic number.

1007100864 is a gapful number since it is divisible by the number (14) 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 1007100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932700224).

1007100864 is an abundant number, since it is smaller than the sum of its proper divisors (2858299584).

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

1007100864 is an equidigital number, since it uses as much as digits as its factorization.

1007100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 52 counting only the distinct ones).

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

The square root of 1007100864 is about 31734.8525126555. The cubic root of 1007100864 is about 1002.3613741895.

Adding to 1007100864 its reverse (4680017001), we get a palindrome (5687117865).

The spelling of 1007100864 in words is "one billion, seven million, one hundred thousand, eight hundred sixty-four".