102054740 has 48 divisors (see below), whose sum is σ = 232488144. Its totient is φ = 37478400.

The previous prime is 102054727. The next prime is 102054751. The reversal of 102054740 is 47450201.

It can be written as a sum of positive squares in 8 ways, for example, as 31561924 + 70492816 = 5618^2 + 8396^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10280 + ... + 17600.

It is an arithmetic number, because the mean of its divisors is an integer number (4843503).

Almost surely, 2^102054740 is an apocalyptic number.

102054740 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 102054740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116244072).

102054740 is an abundant number, since it is smaller than the sum of its proper divisors (130433404).

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

102054740 is a wasteful number, since it uses less digits than its factorization.

102054740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 102054740 is about 10102.2146086885. The cubic root of 102054740 is about 467.3164406574.

The spelling of 102054740 in words is "one hundred two million, fifty-four thousand, seven hundred forty".