102128740 has 108 divisors (see below), whose sum is σ = 262128636. Its totient is φ = 33323136.

The previous prime is 102128737. The next prime is 102128753. The reversal of 102128740 is 47821201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75585636 + 26543104 = 8694^2 + 5152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 518322 + ... + 518518.

It is an arithmetic number, because the mean of its divisors is an integer number (2427117).

Almost surely, 2^102128740 is an apocalyptic number.

102128740 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 102128740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064318).

102128740 is an abundant number, since it is smaller than the sum of its proper divisors (159999896).

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

102128740 is a wasteful number, since it uses less digits than its factorization.

102128740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 102128740 is about 10105.8765082500. The cubic root of 102128740 is about 467.4293639168.

Adding to 102128740 its reverse (47821201), we get a palindrome (149949941).

The spelling of 102128740 in words is "one hundred two million, one hundred twenty-eight thousand, seven hundred forty".