245784870100 has 288 divisors, whose sum is σ = 695111510016. Its totient is φ = 73146585600.

The previous prime is 245784870083. The next prime is 245784870131. The reversal of 245784870100 is 1078487542.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151065487 + ... + 151067113.

It is an arithmetic number, because the mean of its divisors is an integer number (2413581632).

Almost surely, 2^245784870100 is an apocalyptic number.

245784870100 is a gapful number since it is divisible by the number (20) 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 245784870100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347555755008).

245784870100 is an abundant number, since it is smaller than the sum of its proper divisors (449326639916).

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

245784870100 is a wasteful number, since it uses less digits than its factorization.

245784870100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 46.

The spelling of 245784870100 in words is "two hundred forty-five billion, seven hundred eighty-four million, eight hundred seventy thousand, one hundred".