100061557346400 has 288 divisors, whose sum is σ = 350829025505280. Its totient is φ = 24625285908480.

The previous prime is 100061557346329. The next prime is 100061557346411. The reversal of 100061557346400 is 4643755160001.

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, 147018081 + ... + 147697119.

It is an arithmetic number, because the mean of its divisors is an integer number (1218156338560).

Almost surely, 2^{100061557346400} is an apocalyptic number.

100061557346400 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 100061557346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175414512752640).

100061557346400 is an abundant number, since it is smaller than the sum of its proper divisors (250767468158880).

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

100061557346400 is a wasteful number, since it uses less digits than its factorization.

100061557346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683798 (or 683785 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 100061557346400 in words is "one hundred trillion, sixty-one billion, five hundred fifty-seven million, three hundred forty-six thousand, four hundred".