106202560542 has 96 divisors (see below), whose sum is σ = 231665702400. Its totient is φ = 32442149376.

The previous prime is 106202560517. The next prime is 106202560547. The reversal of 106202560542 is 245065202601.

It is a super-2 number, since 2×106202560542² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106202560547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143710809 + ... + 143711547.

It is an arithmetic number, because the mean of its divisors is an integer number (2413184400).

Almost surely, 2^106202560542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106202560542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115832851200).

106202560542 is an abundant number, since it is smaller than the sum of its proper divisors (125463141858).

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

106202560542 is a wasteful number, since it uses less digits than its factorization.

106202560542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 106202560542 in words is "one hundred six billion, two hundred two million, five hundred sixty thousand, five hundred forty-two".