106525655040 has 384 divisors, whose sum is σ = 396619917120. Its totient is φ = 24343216128.

The previous prime is 106525655023. The next prime is 106525655099. The reversal of 106525655040 is 40556525601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106525655040² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106525655040.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24082269 + ... + 24086691.

Almost surely, 2^106525655040 is an apocalyptic number.

106525655040 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 106525655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198309958560).

106525655040 is an abundant number, since it is smaller than the sum of its proper divisors (290094262080).

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

106525655040 is an frugal number, since it uses more digits than its factorization.

106525655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 106525655040 in words is "one hundred six billion, five hundred twenty-five million, six hundred fifty-five thousand, forty".