100942028154080 has 384 divisors, whose sum is σ = 255028377139200. Its totient is φ = 37693037297664.

The previous prime is 100942028154061. The next prime is 100942028154103. The reversal of 100942028154080 is 80451820249001.

It is a Cunningham number, because it is equal to 10046991²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7334297279 + ... + 7334311041.

It is an arithmetic number, because the mean of its divisors is an integer number (664136398800).

Almost surely, 2^{100942028154080} is an apocalyptic number.

100942028154080 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 100942028154080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127514188569600).

100942028154080 is an abundant number, since it is smaller than the sum of its proper divisors (154086348985120).

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

100942028154080 is a wasteful number, since it uses less digits than its factorization.

100942028154080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14306 (or 14298 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 100942028154080 in words is "one hundred trillion, nine hundred forty-two billion, twenty-eight million, one hundred fifty-four thousand, eighty".