102127392 has 180 divisors, whose sum is σ = 317924838. Its totient is φ = 32140800.

The previous prime is 102127391. The next prime is 102127427. The reversal of 102127392 is 293721201.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 1245456 = 10044^2 + 1116^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102127391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2490892 + ... + 2490932.

Almost surely, 2^102127392 is an apocalyptic number.

102127392 is a gapful number since it is divisible by the number (12) 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 102127392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158962419).

102127392 is an abundant number, since it is smaller than the sum of its proper divisors (215797446).

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

102127392 is an equidigital number, since it uses as much as digits as its factorization.

102127392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102127392 is about 10105.8098141614. The cubic root of 102127392 is about 467.4273073702.

Adding to 102127392 its reverse (293721201), we get a palindrome (395848593).

The spelling of 102127392 in words is "one hundred two million, one hundred twenty-seven thousand, three hundred ninety-two".