100007040 has 192 divisors, whose sum is σ = 371165760. Its totient is φ = 22837248.

The previous prime is 100007009. The next prime is 100007071. The reversal of 100007040 is 40700001.

It is an interprime number because it is at equal distance from previous prime (100007009) and next prime (100007071).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93549 + ... + 94611.

It is an arithmetic number, because the mean of its divisors is an integer number (1933155).

Almost surely, 2^100007040 is an apocalyptic number.

100007040 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 100007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185582880).

100007040 is an abundant number, since it is smaller than the sum of its proper divisors (271158720).

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

100007040 is a wasteful number, since it uses less digits than its factorization.

100007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 100007040 is about 10000.3519938050. The cubic root of 100007040 is about 464.1697753675.

Adding to 100007040 its reverse (40700001), we get a palindrome (140707041).

The spelling of 100007040 in words is "one hundred million, seven thousand, forty".