102193420 has 48 divisors (see below), whose sum is σ = 250286400. Its totient is φ = 35035392.

The previous prime is 102193417. The next prime is 102193423. The reversal of 102193420 is 24391201.

It is an interprime number because it is at equal distance from previous prime (102193417) and next prime (102193423).

It is a junction number, because it is equal to n+sod(n) for n = 102193391 and 102193400.

It is not an unprimeable number, because it can be changed into a prime (102193423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589 + ... + 14308.

It is an arithmetic number, because the mean of its divisors is an integer number (5214300).

Almost surely, 2^102193420 is an apocalyptic number.

102193420 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 102193420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125143200).

102193420 is an abundant number, since it is smaller than the sum of its proper divisors (148092980).

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

102193420 is a wasteful number, since it uses less digits than its factorization.

102193420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14927 (or 14911 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 102193420 is about 10109.0761200023. The cubic root of 102193420 is about 467.5280202828.

It can be divided in two parts, 10219 and 3420, that multiplied together give a triangular number (34948980 = T₈₃₆₀).

The spelling of 102193420 in words is "one hundred two million, one hundred ninety-three thousand, four hundred twenty".