100456455703100 has 144 divisors (see below), whose sum is σ = 257970872140800. Its totient is φ = 33222537573120.

The previous prime is 100456455703057. The next prime is 100456455703127. The reversal of 100456455703100 is 1307554654001.

It is a happy number.

It is a super-2 number, since 2×100456455703100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18710279 + ... + 23473121.

Almost surely, 2^{100456455703100} is an apocalyptic number.

100456455703100 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 100456455703100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128985436070400).

100456455703100 is an abundant number, since it is smaller than the sum of its proper divisors (157514416437700).

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

100456455703100 is a wasteful number, since it uses less digits than its factorization.

100456455703100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763932 (or 4763925 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 100456455703100 in words is "one hundred trillion, four hundred fifty-six billion, four hundred fifty-five million, seven hundred three thousand, one hundred".