102192948 has 144 divisors (see below), whose sum is σ = 313588800. Its totient is φ = 28529280.

The previous prime is 102192943. The next prime is 102192949. The reversal of 102192948 is 849291201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102192943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200518 + ... + 201026.

It is an arithmetic number, because the mean of its divisors is an integer number (2177700).

Almost surely, 2^102192948 is an apocalyptic number.

102192948 is a gapful number since it is divisible by the number (18) 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 102192948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156794400).

102192948 is an abundant number, since it is smaller than the sum of its proper divisors (211395852).

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

102192948 is a wasteful number, since it uses less digits than its factorization.

102192948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 102192948 is about 10109.0527746174. The cubic root of 102192948 is about 467.5273004923.

The spelling of 102192948 in words is "one hundred two million, one hundred ninety-two thousand, nine hundred forty-eight".