102734016 has 112 divisors (see below), whose sum is σ = 338937600. Its totient is φ = 26680320.

The previous prime is 102734003. The next prime is 102734053. The reversal of 102734016 is 610437201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11310 + ... + 18258.

Almost surely, 2^102734016 is an apocalyptic number.

102734016 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 102734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169468800).

102734016 is an abundant number, since it is smaller than the sum of its proper divisors (236203584).

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

102734016 is a wasteful number, since it uses less digits than its factorization.

102734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 102734016 is about 10135.7790031156. The cubic root of 102734016 is about 468.3509676481.

The spelling of 102734016 in words is "one hundred two million, seven hundred thirty-four thousand, sixteen".