102733134 has 32 divisors (see below), whose sum is σ = 245030400. Its totient is φ = 28075872.

The previous prime is 102733129. The next prime is 102733139. The reversal of 102733134 is 431337201.

102733134 = 32² + 33² + ... + 675².

It is an interprime number because it is at equal distance from previous prime (102733129) and next prime (102733139).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102733139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52209 + ... + 54140.

It is an arithmetic number, because the mean of its divisors is an integer number (7657200).

Almost surely, 2^102733134 is an apocalyptic number.

102733134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102733134 is an abundant number, since it is smaller than the sum of its proper divisors (142297266).

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

102733134 is a wasteful number, since it uses less digits than its factorization.

102733134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106384.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 102733134 is about 10135.7354937863. The cubic root of 102733134 is about 468.3496273366.

The spelling of 102733134 in words is "one hundred two million, seven hundred thirty-three thousand, one hundred thirty-four".