102695424000 has 832 divisors, whose sum is σ = 380680984320. Its totient is φ = 24418713600.

The previous prime is 102695423927. The next prime is 102695424121. The reversal of 102695424000 is 424596201.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×102695424000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738815931 + ... + 738816069.

It is an arithmetic number, because the mean of its divisors is an integer number (457549260).

Almost surely, 2^102695424000 is an apocalyptic number.

102695424000 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 102695424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190340492160).

102695424000 is an abundant number, since it is smaller than the sum of its proper divisors (277985560320).

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

102695424000 is a wasteful number, since it uses less digits than its factorization.

102695424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 102695424000 in words is "one hundred two billion, six hundred ninety-five million, four hundred twenty-four thousand".