106151556560 has 160 divisors (see below), whose sum is σ = 293290371072. Its totient is φ = 34962923520.

The previous prime is 106151556559. The next prime is 106151556569. The reversal of 106151556560 is 65655151601.

It is a super-2 number, since 2×106151556560² (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 (106151556569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356004 + ... + 2400636.

Almost surely, 2^106151556560 is an apocalyptic number.

106151556560 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 106151556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146645185536).

106151556560 is an abundant number, since it is smaller than the sum of its proper divisors (187138814512).

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

106151556560 is a wasteful number, since it uses less digits than its factorization.

106151556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44821 (or 44815 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 106151556560 in words is "one hundred six billion, one hundred fifty-one million, five hundred fifty-six thousand, five hundred sixty".