106886909657088 has 1600 divisors, whose sum is σ = 368525559283200. Its totient is φ = 30831280128000.

The previous prime is 106886909657029. The next prime is 106886909657153. The reversal of 106886909657088 is 880756909688601.

It is a super-2 number, since 2×106886909657088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 106886909656998 and 106886909657016.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1752244420578 + ... + 1752244420638.

It is an arithmetic number, because the mean of its divisors is an integer number (230328474552).

Almost surely, 2^{106886909657088} is an apocalyptic number.

106886909657088 is a gapful number since it is divisible by the number (18) 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 106886909657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184262779641600).

106886909657088 is an abundant number, since it is smaller than the sum of its proper divisors (261638649626112).

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

106886909657088 is an frugal number, since it uses more digits than its factorization.

106886909657088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

The spelling of 106886909657088 in words is "one hundred six trillion, eight hundred eighty-six billion, nine hundred nine million, six hundred fifty-seven thousand, eighty-eight".