105237325440 has 320 divisors, whose sum is σ = 404733427560. Its totient is φ = 25904406528.

The previous prime is 105237325429. The next prime is 105237325469. The reversal of 105237325440 is 44523732501.

105237325440 is a `hidden beast` number, since 1 + 0 + 52 + 37 + 32 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66403105344 + 38834220096 = 257688^2 + 197064^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105237325440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105237325395 and 105237325404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 595842 + ... + 751998.

Almost surely, 2^105237325440 is an apocalyptic number.

105237325440 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 105237325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202366713780).

105237325440 is an abundant number, since it is smaller than the sum of its proper divisors (299496102120).

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

105237325440 is a wasteful number, since it uses less digits than its factorization.

105237325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156201 (or 156180 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 105237325440 in words is "one hundred five billion, two hundred thirty-seven million, three hundred twenty-five thousand, four hundred forty".