100437053505768 has 400 divisors, whose sum is σ = 336188029175460. Its totient is φ = 27996373440000.

The previous prime is 100437053505703. The next prime is 100437053505773. The reversal of 100437053505768 is 867505350734001.

100437053505768 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 70 + 5 + 3 + 505 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96904375376004 + 3532678129764 = 9844002^2 + 1879542^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 63002518 + ... + 64577018.

Almost surely, 2^{100437053505768} is an apocalyptic number.

100437053505768 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 100437053505768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168094014587730).

100437053505768 is an abundant number, since it is smaller than the sum of its proper divisors (235750975669692).

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

100437053505768 is an equidigital number, since it uses as much as digits as its factorization.

100437053505768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574588 (or 1574554 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 100437053505768 in words is "one hundred trillion, four hundred thirty-seven billion, fifty-three million, five hundred five thousand, seven hundred sixty-eight".