102695040 has 320 divisors, whose sum is σ = 420615360. Its totient is φ = 23390208.

The previous prime is 102695029. The next prime is 102695077. The reversal of 102695040 is 40596201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102694995 and 102695013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362739 + ... + 363021.

It is an arithmetic number, because the mean of its divisors is an integer number (1314423).

Almost surely, 2^102695040 is an apocalyptic number.

102695040 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 102695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210307680).

102695040 is an abundant number, since it is smaller than the sum of its proper divisors (317920320).

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

102695040 is an equidigital number, since it uses as much as digits as its factorization.

102695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102695040 is about 10133.8561268650. The cubic root of 102695040 is about 468.2917313243.

The spelling of 102695040 in words is "one hundred two million, six hundred ninety-five thousand, forty".