102919840 has 96 divisors (see below), whose sum is σ = 258143760. Its totient is φ = 38707200.

The previous prime is 102919837. The next prime is 102919847. The reversal of 102919840 is 48919201.

It can be written as a sum of positive squares in 8 ways, for example, as 15085456 + 87834384 = 3884^2 + 9372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102919796 and 102919805.

It is not an unprimeable number, because it can be changed into a prime (102919847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189970 + ... + 190510.

Almost surely, 2^102919840 is an apocalyptic number.

102919840 is a gapful number since it is divisible by the number (10) 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 102919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129071880).

102919840 is an abundant number, since it is smaller than the sum of its proper divisors (155223920).

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

102919840 is a wasteful number, since it uses less digits than its factorization.

102919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 102919840 is about 10144.9415966776. The cubic root of 102919840 is about 468.6331800149.

The spelling of 102919840 in words is "one hundred two million, nine hundred nineteen thousand, eight hundred forty".