100430153451440 has 160 divisors (see below), whose sum is σ = 239630546413440. Its totient is φ = 39120978124800.

The previous prime is 100430153451379. The next prime is 100430153451451. The reversal of 100430153451440 is 44154351034001.

It is a self number, because there is not a number n which added to its sum of digits gives 100430153451440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6249923726 + ... + 6249939794.

It is an arithmetic number, because the mean of its divisors is an integer number (1497690915084).

Almost surely, 2^{100430153451440} is an apocalyptic number.

100430153451440 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 100430153451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119815273206720).

100430153451440 is an abundant number, since it is smaller than the sum of its proper divisors (139200392962000).

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

100430153451440 is a wasteful number, since it uses less digits than its factorization.

100430153451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19471 (or 19465 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 100430153451440 in words is "one hundred trillion, four hundred thirty billion, one hundred fifty-three million, four hundred fifty-one thousand, four hundred forty".