102014010 has 96 divisors (see below), whose sum is σ = 305061120. Its totient is φ = 23169024.

The previous prime is 102013987. The next prime is 102014041. The reversal of 102014010 is 10410201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102013983 and 102014001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121171 + ... + 122009.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2^102014010 is an apocalyptic number.

102014010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102014010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152530560).

102014010 is an abundant number, since it is smaller than the sum of its proper divisors (203047110).

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

102014010 is a wasteful number, since it uses less digits than its factorization.

102014010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102014010 is about 10100.1985129006. The cubic root of 102014010 is about 467.2542637926.

Adding to 102014010 its reverse (10410201), we get a palindrome (112424211).

The spelling of 102014010 in words is "one hundred two million, fourteen thousand, ten".