106514611200 has 660 divisors, whose sum is σ = 407379725632. Its totient is φ = 27471052800.

The previous prime is 106514611157. The next prime is 106514611201. The reversal of 106514611200 is 2116415601.

106514611200 is a `hidden beast` number, since 1 + 0 + 651 + 4 + 6 + 1 + 1 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×106514611200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106514611201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64280772 + ... + 64282428.

Almost surely, 2^106514611200 is an apocalyptic number.

106514611200 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 106514611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203689862816).

106514611200 is an abundant number, since it is smaller than the sum of its proper divisors (300865114432).

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

106514611200 is a wasteful number, since it uses less digits than its factorization.

106514611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 106514611200 in words is "one hundred six billion, five hundred fourteen million, six hundred eleven thousand, two hundred".