106540956288 has 320 divisors, whose sum is σ = 359433597600. Its totient is φ = 31055726592.

The previous prime is 106540956287. The next prime is 106540956311. The reversal of 106540956288 is 882659045601.

106540956288 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 4 + 0 + 9 + 5 + 628 + 8 = 666.

It is a super-2 number, since 2×106540956288² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (106540956287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2540095 + ... + 2581697.

Almost surely, 2^106540956288 is an apocalyptic number.

106540956288 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 106540956288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179716798800).

106540956288 is an abundant number, since it is smaller than the sum of its proper divisors (252892641312).

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

106540956288 is a wasteful number, since it uses less digits than its factorization.

106540956288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41661 (or 41640 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 106540956288 in words is "one hundred six billion, five hundred forty million, nine hundred fifty-six thousand, two hundred eighty-eight".