106525270800 has 1920 divisors, whose sum is σ = 476594496000. Its totient is φ = 22574039040.

The previous prime is 106525270763. The next prime is 106525270823. The reversal of 106525270800 is 8072525601.

It is a happy number.

106525270800 is a `hidden beast` number, since 1 + 0 + 6 + 52 + 527 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×106525270800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3673285186 + ... + 3673285214.

It is an arithmetic number, because the mean of its divisors is an integer number (248226300).

Almost surely, 2^106525270800 is an apocalyptic number.

106525270800 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 106525270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238297248000).

106525270800 is an abundant number, since it is smaller than the sum of its proper divisors (370069225200).

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

106525270800 is a wasteful number, since it uses less digits than its factorization.

106525270800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 106525270800 in words is "one hundred six billion, five hundred twenty-five million, two hundred seventy thousand, eight hundred".