100619820028728 has 3456 divisors, whose sum is σ = 419877991008000. Its totient is φ = 22050838656000.

The previous prime is 100619820028699. The next prime is 100619820028751. The reversal of 100619820028728 is 827820028916001.

100619820028728 is a `hidden beast` number, since 10 + 0 + 61 + 98 + 200 + 287 + 2 + 8 = 666.

It is a super-2 number, since 2×100619820028728² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 303987371523 + ... + 303987371853.

It is an arithmetic number, because the mean of its divisors is an integer number (121492474250).

Almost surely, 2^{100619820028728} is an apocalyptic number.

100619820028728 is a gapful number since it is divisible by the number (18) 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 100619820028728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209938995504000).

100619820028728 is an abundant number, since it is smaller than the sum of its proper divisors (319258170979272).

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

100619820028728 is a wasteful number, since it uses less digits than its factorization.

100619820028728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 100619820028728 in words is "one hundred trillion, six hundred nineteen billion, eight hundred twenty million, twenty-eight thousand, seven hundred twenty-eight".