102115152 has 60 divisors (see below), whose sum is σ = 286508820. Its totient is φ = 33951744.

The previous prime is 102115151. The next prime is 102115157. The reversal of 102115152 is 251511201.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 992016 = 10056^2 + 996^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102115151) 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 11 ways as a sum of consecutive naturals, for example, 82474 + ... + 83702.

It is an arithmetic number, because the mean of its divisors is an integer number (4775147).

Almost surely, 2^102115152 is an apocalyptic number.

102115152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102115152 is an abundant number, since it is smaller than the sum of its proper divisors (184393668).

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

102115152 is a wasteful number, since it uses less digits than its factorization.

102115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 102115152 is about 10105.2042037754. The cubic root of 102115152 is about 467.4086328543.

Adding to 102115152 its reverse (251511201), we get a palindrome (353626353).

The spelling of 102115152 in words is "one hundred two million, one hundred fifteen thousand, one hundred fifty-two".