105157438848 has 768 divisors, whose sum is σ = 390442291200. Its totient is φ = 26378956800.

The previous prime is 105157438847. The next prime is 105157438909. The reversal of 105157438848 is 848834751501.

105157438848 is a `hidden beast` number, since 1 + 0 + 515 + 7 + 4 + 3 + 88 + 48 = 666.

It is a super-2 number, since 2×105157438848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105157438794 and 105157438803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105157438847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371580915 + ... + 371581197.

It is an arithmetic number, because the mean of its divisors is an integer number (508388400).

Almost surely, 2^105157438848 is an apocalyptic number.

105157438848 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 105157438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195221145600).

105157438848 is an abundant number, since it is smaller than the sum of its proper divisors (285284852352).

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

105157438848 is a wasteful number, since it uses less digits than its factorization.

105157438848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 105157438848 in words is "one hundred five billion, one hundred fifty-seven million, four hundred thirty-eight thousand, eight hundred forty-eight".