102967840 has 48 divisors (see below), whose sum is σ = 256072320. Its totient is φ = 39018240.

The previous prime is 102967829. The next prime is 102967841. The reversal of 102967840 is 48769201.

It is a self number, because there is not a number n which added to its sum of digits gives 102967840.

It is not an unprimeable number, because it can be changed into a prime (102967841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13896 + ... + 19975.

It is an arithmetic number, because the mean of its divisors is an integer number (5334840).

Almost surely, 2^102967840 is an apocalyptic number.

102967840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102967840 is an abundant number, since it is smaller than the sum of its proper divisors (153104480).

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

102967840 is a wasteful number, since it uses less digits than its factorization.

102967840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33905 (or 33897 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 102967840 is about 10147.3070319174. The cubic root of 102967840 is about 468.7060227780.

The spelling of 102967840 in words is "one hundred two million, nine hundred sixty-seven thousand, eight hundred forty".