102946032 has 160 divisors (see below), whose sum is σ = 344025600. Its totient is φ = 28864512.

The previous prime is 102945989. The next prime is 102946057. The reversal of 102946032 is 230649201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102945987 and 102946005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178128 + ... + 178704.

It is an arithmetic number, because the mean of its divisors is an integer number (2150160).

Almost surely, 2^102946032 is an apocalyptic number.

102946032 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 102946032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172012800).

102946032 is an abundant number, since it is smaller than the sum of its proper divisors (241079568).

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

102946032 is a wasteful number, since it uses less digits than its factorization.

102946032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 102946032 is about 10146.2324041981. The cubic root of 102946032 is about 468.6729306894.

The spelling of 102946032 in words is "one hundred two million, nine hundred forty-six thousand, thirty-two".