1010008416 has 48 divisors (see below), whose sum is σ = 2660778288. Its totient is φ = 335462400.

The previous prime is 1010008409. The next prime is 1010008423. The reversal of 1010008416 is 6148000101.

It is an interprime number because it is at equal distance from previous prime (1010008409) and next prime (1010008423).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1010008392 and 1010008401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8256 + ... + 45696.

It is an arithmetic number, because the mean of its divisors is an integer number (55432881).

Almost surely, 2^1010008416 is an apocalyptic number.

1010008416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1010008416 is an abundant number, since it is smaller than the sum of its proper divisors (1650769872).

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

1010008416 is a wasteful number, since it uses less digits than its factorization.

1010008416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37735 (or 37727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1010008416 is about 31780.6295721152. The cubic root of 1010008416 is about 1003.3250703199.

Adding to 1010008416 its reverse (6148000101), we get a palindrome (7158008517).

The spelling of 1010008416 in words is "one billion, ten million, eight thousand, four hundred sixteen".