106086513540 has 192 divisors, whose sum is σ = 352163266560. Its totient is φ = 23357168640.

The previous prime is 106086513451. The next prime is 106086513541. The reversal of 106086513540 is 45315680601.

It is a super-2 number, since 2×106086513540² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106086513541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1321389 + ... + 1399371.

It is an arithmetic number, because the mean of its divisors is an integer number (1834183680).

Almost surely, 2^106086513540 is an apocalyptic number.

106086513540 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 106086513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176081633280).

106086513540 is an abundant number, since it is smaller than the sum of its proper divisors (246076753020).

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

106086513540 is a wasteful number, since it uses less digits than its factorization.

106086513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78122 (or 78120 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 106086513540 in words is "one hundred six billion, eighty-six million, five hundred thirteen thousand, five hundred forty".