108237253536 has 144 divisors (see below), whose sum is σ = 322557439680. Its totient is φ = 35310821760.

The previous prime is 108237253529. The next prime is 108237253561. The reversal of 108237253536 is 635352732801.

108237253536 is a `hidden beast` number, since 1 + 0 + 82 + 3 + 7 + 2 + 535 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 108237253491 and 108237253500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1880221 + ... + 1936931.

It is an arithmetic number, because the mean of its divisors is an integer number (2239982220).

Almost surely, 2^108237253536 is an apocalyptic number.

108237253536 is a gapful number since it is divisible by the number (16) 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 108237253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161278719840).

108237253536 is an abundant number, since it is smaller than the sum of its proper divisors (214320186144).

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

108237253536 is an equidigital number, since it uses as much as digits as its factorization.

108237253536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56824 (or 56763 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 108237253536 in words is "one hundred eight billion, two hundred thirty-seven million, two hundred fifty-three thousand, five hundred thirty-six".