106490397140 has 72 divisors (see below), whose sum is σ = 231936464760. Its totient is φ = 41068855296.

The previous prime is 106490397133. The next prime is 106490397161. The reversal of 106490397140 is 41793094601.

It can be written as a sum of positive squares in 12 ways, for example, as 39908851984 + 66581545156 = 199772^2 + 258034^2 .

It is a super-2 number, since 2×106490397140² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106490397091 and 106490397100.

It is a congruent number.

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, 12930464 + ... + 12938696.

Almost surely, 2^106490397140 is an apocalyptic number.

106490397140 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 106490397140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115968232380).

106490397140 is an abundant number, since it is smaller than the sum of its proper divisors (125446067620).

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

106490397140 is a wasteful number, since it uses less digits than its factorization.

106490397140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 106490397140 in words is "one hundred six billion, four hundred ninety million, three hundred ninety-seven thousand, one hundred forty".