102435840 has 440 divisors, whose sum is σ = 416114160. Its totient is φ = 23887872.

The previous prime is 102435799. The next prime is 102435841. The reversal of 102435840 is 48534201.

102435840 = T₃₈₁ + T₃₈₂ + ... + T₈₇₄.

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 (102435841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391351 + ... + 5391369.

It is an arithmetic number, because the mean of its divisors is an integer number (945714).

Almost surely, 2^102435840 is an apocalyptic number.

102435840 is a gapful number since it is divisible by the number (10) 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 102435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208057080).

102435840 is an abundant number, since it is smaller than the sum of its proper divisors (313678320).

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

102435840 is a wasteful number, since it uses less digits than its factorization.

102435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102435840 is about 10121.0592331040. The cubic root of 102435840 is about 467.8974134119.

It can be divided in two parts, 1024 and 35840, that added together give a square (36864 = 192²).

The spelling of 102435840 in words is "one hundred two million, four hundred thirty-five thousand, eight hundred forty".