106052514600 has 96 divisors (see below), whose sum is σ = 329705460000. Its totient is φ = 28199581440.

The previous prime is 106052514583. The next prime is 106052514611. The reversal of 106052514600 is 6415250601.

It is a super-2 number, since 2×106052514600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43830 + ... + 462629.

It is an arithmetic number, because the mean of its divisors is an integer number (3434431875).

Almost surely, 2^106052514600 is an apocalyptic number.

106052514600 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 106052514600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164852730000).

106052514600 is an abundant number, since it is smaller than the sum of its proper divisors (223652945400).

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

106052514600 is a wasteful number, since it uses less digits than its factorization.

106052514600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506827 (or 506818 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 106052514600 in words is "one hundred six billion, fifty-two million, five hundred fourteen thousand, six hundred".