100537491600000 has 5760 divisors, whose sum is σ = 481330334136960. Its totient is φ = 20379340800000.

The previous prime is 100537491599893. The next prime is 100537491600037. The reversal of 100537491600000 is 6194735001.

100537491600000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 7 + 49 + 1 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1648155599970 + ... + 1648155600030.

It is an arithmetic number, because the mean of its divisors is an integer number (83564294121).

Almost surely, 2^{100537491600000} is an apocalyptic number.

100537491600000 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 100537491600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240665167068480).

100537491600000 is an abundant number, since it is smaller than the sum of its proper divisors (380792842536960).

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

100537491600000 is an frugal number, since it uses more digits than its factorization.

100537491600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 100537491600000 in words is "one hundred trillion, five hundred thirty-seven billion, four hundred ninety-one million, six hundred thousand".