102426016 has 72 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 39895680.

The previous prime is 102426011. The next prime is 102426029. The reversal of 102426016 is 610624201.

It is a Harshad number since it is a multiple of its sum of digits (22).

102426016 is a modest number, since divided by 26016 gives 1024 as remainder.

It is not an unprimeable number, because it can be changed into a prime (102426011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25215 + ... + 28993.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^102426016 is an apocalyptic number.

102426016 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 102426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

102426016 is an abundant number, since it is smaller than the sum of its proper divisors (150954944).

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

102426016 is a wasteful number, since it uses less digits than its factorization.

102426016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 102426016 is about 10120.5738967709. The cubic root of 102426016 is about 467.8824551995.

The spelling of 102426016 in words is "one hundred two million, four hundred twenty-six thousand, sixteen".