102356730 has 128 divisors (see below), whose sum is σ = 322191360. Its totient is φ = 22628160.

The previous prime is 102356729. The next prime is 102356759. The reversal of 102356730 is 37653201.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102356694 and 102356703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57717 + ... + 59463.

It is an arithmetic number, because the mean of its divisors is an integer number (2517120).

Almost surely, 2^102356730 is an apocalyptic number.

102356730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102356730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161095680).

102356730 is an abundant number, since it is smaller than the sum of its proper divisors (219834630).

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

102356730 is a wasteful number, since it uses less digits than its factorization.

102356730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 102356730 is about 10117.1502904721. The cubic root of 102356730 is about 467.7769318262.

The spelling of 102356730 in words is "one hundred two million, three hundred fifty-six thousand, seven hundred thirty".