100920456 has 192 divisors, whose sum is σ = 342625920. Its totient is φ = 26127360.

The previous prime is 100920451. The next prime is 100920509. The reversal of 100920456 is 654029001.

It is not an unprimeable number, because it can be changed into a prime (100920451) 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 47 ways as a sum of consecutive naturals, for example, 478191 + ... + 478401.

It is an arithmetic number, because the mean of its divisors is an integer number (1784510).

Almost surely, 2^100920456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100920456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171312960).

100920456 is an abundant number, since it is smaller than the sum of its proper divisors (241705464).

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

100920456 is a wasteful number, since it uses less digits than its factorization.

100920456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100920456 is about 10045.9173797120. The cubic root of 100920456 is about 465.5786621815.

Adding to 100920456 its reverse (654029001), we get a palindrome (754949457).

The spelling of 100920456 in words is "one hundred million, nine hundred twenty thousand, four hundred fifty-six".