102359814 has 16 divisors (see below), whose sum is σ = 205258752. Its totient is φ = 34030088.

The previous prime is 102359809. The next prime is 102359819. The reversal of 102359814 is 418953201.

It is an interprime number because it is at equal distance from previous prime (102359809) and next prime (102359819).

It is a super-3 number, since 3×102359814³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102359819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19974 + ... + 24569.

It is an arithmetic number, because the mean of its divisors is an integer number (12828672).

Almost surely, 2^102359814 is an apocalyptic number.

102359814 is an abundant number, since it is smaller than the sum of its proper divisors (102898938).

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

102359814 is a wasteful number, since it uses less digits than its factorization.

102359814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44931.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 102359814 is about 10117.3027037842. The cubic root of 102359814 is about 467.7816298060.

It can be divided in two parts, 102 and 359814, that multiplied together give a triangular number (36701028 = T₈₅₆₇).

The spelling of 102359814 in words is "one hundred two million, three hundred fifty-nine thousand, eight hundred fourteen".