102051642 has 96 divisors (see below), whose sum is σ = 262918656. Its totient is φ = 25835040.

The previous prime is 102051623. The next prime is 102051643. The reversal of 102051642 is 246150201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102051643) 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, 218293 + ... + 218759.

It is an arithmetic number, because the mean of its divisors is an integer number (2738736).

Almost surely, 2^102051642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102051642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

102051642 is an abundant number, since it is smaller than the sum of its proper divisors (160867014).

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

102051642 is a wasteful number, since it uses less digits than its factorization.

102051642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102051642 is about 10102.0612748092. The cubic root of 102051642 is about 467.3117119501.

The spelling of 102051642 in words is "one hundred two million, fifty-one thousand, six hundred forty-two".