102249354240 has 704 divisors, whose sum is σ = 417391488000. Its totient is φ = 23476469760.

The previous prime is 102249354227. The next prime is 102249354271. The reversal of 102249354240 is 42453942201.

It is a happy number.

102249354240 is a `hidden beast` number, since 1 + 0 + 2 + 24 + 93 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a junction number, because it is equal to n+sod(n) for n = 102249354195 and 102249354204.

It is a congruent number.

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, 28890391 + ... + 28893929.

Almost surely, 2^102249354240 is an apocalyptic number.

102249354240 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 102249354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208695744000).

102249354240 is an abundant number, since it is smaller than the sum of its proper divisors (315142133760).

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

102249354240 is a wasteful number, since it uses less digits than its factorization.

102249354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 102249354240 in words is "one hundred two billion, two hundred forty-nine million, three hundred fifty-four thousand, two hundred forty".