102436864 has 52 divisors (see below), whose sum is σ = 207887580. Its totient is φ = 50462720.

The previous prime is 102436853. The next prime is 102436877. The reversal of 102436864 is 468634201.

It can be written as a sum of positive squares in 2 ways, for example, as 43454464 + 58982400 = 6592^2 + 7680^2 .

It is a super-2 number, since 2×102436864² = 20986622212308992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364404 + ... + 364684.

Almost surely, 2^102436864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103943790).

102436864 is an abundant number, since it is smaller than the sum of its proper divisors (105450716).

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

102436864 is an frugal number, since it uses more digits than its factorization.

102436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 102436864 is about 10121.1098205681. The cubic root of 102436864 is about 467.8989725190.

It can be divided in two parts, 1024 and 36864, that multiplied together give a square (37748736 = 6144²).

The spelling of 102436864 in words is "one hundred two million, four hundred thirty-six thousand, eight hundred sixty-four".