245432672100 has 432 divisors, whose sum is σ = 960308119680. Its totient is φ = 50935910400.

The previous prime is 245432672099. The next prime is 245432672113. The reversal of 245432672100 is 1276234542.

245432672100 is a `hidden beast` number, since 2 + 4 + 5 + 432 + 6 + 7 + 210 + 0 = 666.

It is a super-2 number, since 2×245432672100² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74080044 + ... + 74083356.

Almost surely, 2^245432672100 is an apocalyptic number.

245432672100 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 245432672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480154059840).

245432672100 is an abundant number, since it is smaller than the sum of its proper divisors (714875447580).

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

245432672100 is a wasteful number, since it uses less digits than its factorization.

245432672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 245432672100 in words is "two hundred forty-five billion, four hundred thirty-two million, six hundred seventy-two thousand, one hundred".