100082627440600 has 192 divisors, whose sum is σ = 280427610412800. Its totient is φ = 32450295790080.

The previous prime is 100082627440597. The next prime is 100082627440633. The reversal of 100082627440600 is 6044726280001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 11634322 + ... + 18317278.

It is an arithmetic number, because the mean of its divisors is an integer number (1460560470900).

Almost surely, 2^{100082627440600} is an apocalyptic number.

100082627440600 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 100082627440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140213805206400).

100082627440600 is an abundant number, since it is smaller than the sum of its proper divisors (180344982972200).

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

100082627440600 is a wasteful number, since it uses less digits than its factorization.

100082627440600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683562 (or 6683553 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 100082627440600 in words is "one hundred trillion, eighty-two billion, six hundred twenty-seven million, four hundred forty thousand, six hundred".