102114040 has 96 divisors (see below), whose sum is σ = 272587680. Its totient is φ = 34315008.

The previous prime is 102114029. The next prime is 102114091. The reversal of 102114040 is 40411201.

It is a self number, because there is not a number n which added to its sum of digits gives 102114040.

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, 103389 + ... + 104371.

It is an arithmetic number, because the mean of its divisors is an integer number (2839455).

Almost surely, 2^102114040 is an apocalyptic number.

102114040 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 102114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136293840).

102114040 is an abundant number, since it is smaller than the sum of its proper divisors (170473640).

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

102114040 is a wasteful number, since it uses less digits than its factorization.

102114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 102114040 is about 10105.1491824713. The cubic root of 102114040 is about 467.4069362066.

Adding to 102114040 its reverse (40411201), we get a palindrome (142525241).

The spelling of 102114040 in words is "one hundred two million, one hundred fourteen thousand, forty".