106525806621048 has 64 divisors (see below), whose sum is σ = 299650651584000. Its totient is φ = 35059126224096.

The previous prime is 106525806621041. The next prime is 106525806621067. The reversal of 106525806621048 is 840126608525601.

106525806621048 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 2 + 5 + 8 + 0 + 6 + 621 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×106525806621048² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106525806620985 and 106525806621003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106525806621041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121343890 + ... + 3121378017.

It is an arithmetic number, because the mean of its divisors is an integer number (4682041431000).

Almost surely, 2^{106525806621048} is an apocalyptic number.

106525806621048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106525806621048 is an abundant number, since it is smaller than the sum of its proper divisors (193124844962952).

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

106525806621048 is a wasteful number, since it uses less digits than its factorization.

106525806621048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242722001 (or 6242721991 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 106525806621048 in words is "one hundred six trillion, five hundred twenty-five billion, eight hundred six million, six hundred twenty-one thousand, forty-eight".