102056416 has 144 divisors (see below), whose sum is σ = 261826992. Its totient is φ = 38707200.

The previous prime is 102056401. The next prime is 102056431. The reversal of 102056416 is 614650201.

It is an interprime number because it is at equal distance from previous prime (102056401) and next prime (102056431).

It is a congruent number.

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, 1052080 + ... + 1052176.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2^102056416 is an apocalyptic number.

102056416 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 102056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130913496).

102056416 is an abundant number, since it is smaller than the sum of its proper divisors (159770576).

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

102056416 is a wasteful number, since it uses less digits than its factorization.

102056416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 102056416 is about 10102.2975604562. The cubic root of 102056416 is about 467.3189988207.

The spelling of 102056416 in words is "one hundred two million, fifty-six thousand, four hundred sixteen".