100430153350500 has 192 divisors, whose sum is σ = 294104881324800. Its totient is φ = 26630474752000.

The previous prime is 100430153350451. The next prime is 100430153350507. The reversal of 100430153350500 is 5053351034001.

It is a super-3 number, since 3×100430153350500³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100430153350507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197081035 + ... + 197589965.

It is an arithmetic number, because the mean of its divisors is an integer number (1531796256900).

Almost surely, 2^{100430153350500} is an apocalyptic number.

100430153350500 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 100430153350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147052440662400).

100430153350500 is an abundant number, since it is smaller than the sum of its proper divisors (193674727974300).

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

100430153350500 is a wasteful number, since it uses less digits than its factorization.

100430153350500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509695 (or 509683 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 100430153350500 in words is "one hundred trillion, four hundred thirty billion, one hundred fifty-three million, three hundred fifty thousand, five hundred".