102269952 has 154 divisors (see below), whose sum is σ = 308757198. Its totient is φ = 33841152.

The previous prime is 102269941. The next prime is 102269969. The reversal of 102269952 is 259962201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 11943936 = 9504^2 + 3456^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746428 + ... + 746564.

Almost surely, 2^102269952 is an apocalyptic number.

102269952 is a gapful number since it is divisible by the number (12) 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 102269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378599).

102269952 is an abundant number, since it is smaller than the sum of its proper divisors (206487246).

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

102269952 is an frugal number, since it uses more digits than its factorization.

102269952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 102269952 is about 10112.8607228618. The cubic root of 102269952 is about 467.6447007441.

The spelling of 102269952 in words is "one hundred two million, two hundred sixty-nine thousand, nine hundred fifty-two".