100063616 has 64 divisors (see below), whose sum is σ = 213343200. Its totient is φ = 46632960.

The previous prime is 100063597. The next prime is 100063627. The reversal of 100063616 is 616360001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 100063591 and 100063600.

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, 120290 + ... + 121118.

Almost surely, 2^100063616 is an apocalyptic number.

100063616 is a gapful number since it is divisible by the number (16) 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 100063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106671600).

100063616 is an abundant number, since it is smaller than the sum of its proper divisors (113279584).

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

100063616 is an equidigital number, since it uses as much as digits as its factorization.

100063616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 100063616 is about 10003.1802942864. The cubic root of 100063616 is about 464.2572889354.

The spelling of 100063616 in words is "one hundred million, sixty-three thousand, six hundred sixteen".