102014000 has 80 divisors (see below), whose sum is σ = 269152416. Its totient is φ = 37088000.

The previous prime is 102013987. The next prime is 102014041. The reversal of 102014000 is 410201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 19682 + ... + 24318.

Almost surely, 2^102014000 is an apocalyptic number.

102014000 is a gapful number since it is divisible by the number (10) 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 102014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134576208).

102014000 is an abundant number, since it is smaller than the sum of its proper divisors (167138416).

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

102014000 is a wasteful number, since it uses less digits than its factorization.

102014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102014000 is about 10100.1980178608. The cubic root of 102014000 is about 467.2542485250.

Adding to 102014000 its reverse (410201), we get a palindrome (102424201).

The spelling of 102014000 in words is "one hundred two million, fourteen thousand".