106610150056500 has 288 divisors, whose sum is σ = 356180037647616. Its totient is φ = 26787441542400.

The previous prime is 106610150056499. The next prime is 106610150056511. The reversal of 106610150056500 is 5650051016601.

106610150056500 is a `hidden beast` number, since 10 + 66 + 10 + 15 + 0 + 0 + 565 + 0 + 0 = 666.

It is a super-2 number, since 2×106610150056500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 752439 + ... + 14621438.

It is an arithmetic number, because the mean of its divisors is an integer number (1236736241832).

Almost surely, 2^{106610150056500} is an apocalyptic number.

106610150056500 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 106610150056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178090018823808).

106610150056500 is an abundant number, since it is smaller than the sum of its proper divisors (249569887591116).

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

106610150056500 is a wasteful number, since it uses less digits than its factorization.

106610150056500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15373992 (or 15373977 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106610150056500 in words is "one hundred six trillion, six hundred ten billion, one hundred fifty million, fifty-six thousand, five hundred".