106638537600 has 576 divisors, whose sum is σ = 436539143040. Its totient is φ = 24281026560.

The previous prime is 106638537589. The next prime is 106638537623. The reversal of 106638537600 is 6735836601.

106638537600 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 8 + 5 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106638537600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61890339 + ... + 61892061.

Almost surely, 2^106638537600 is an apocalyptic number.

106638537600 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 106638537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218269571520).

106638537600 is an abundant number, since it is smaller than the sum of its proper divisors (329900605440).

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

106638537600 is a wasteful number, since it uses less digits than its factorization.

106638537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 106638537600 in words is "one hundred six billion, six hundred thirty-eight million, five hundred thirty-seven thousand, six hundred".