106152845340 has 384 divisors, whose sum is σ = 342033269760. Its totient is φ = 24428003328.

The previous prime is 106152845339. The next prime is 106152845353. The reversal of 106152845340 is 43548251601.

It is a super-2 number, since 2×106152845340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227307787 + ... + 227308253.

It is an arithmetic number, because the mean of its divisors is an integer number (890711640).

Almost surely, 2^106152845340 is an apocalyptic number.

106152845340 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 106152845340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171016634880).

106152845340 is an abundant number, since it is smaller than the sum of its proper divisors (235880424420).

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

106152845340 is a wasteful number, since it uses less digits than its factorization.

106152845340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 106152845340 in words is "one hundred six billion, one hundred fifty-two million, eight hundred forty-five thousand, three hundred forty".