106577662464 has 1200 divisors, whose sum is σ = 419497927200. Its totient is φ = 26629005312.

The previous prime is 106577662409. The next prime is 106577662489. The reversal of 106577662464 is 464266775601.

106577662464 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 7 + 7 + 6 + 624 + 6 + 4 = 666.

It is a super-2 number, since 2×106577662464² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106577662464.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5609350647 + ... + 5609350665.

It is an arithmetic number, because the mean of its divisors is an integer number (349581606).

Almost surely, 2^106577662464 is an apocalyptic number.

106577662464 is a gapful number since it is divisible by the number (14) 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 106577662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209748963600).

106577662464 is an abundant number, since it is smaller than the sum of its proper divisors (312920264736).

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

106577662464 is an frugal number, since it uses more digits than its factorization.

106577662464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 106577662464 in words is "one hundred six billion, five hundred seventy-seven million, six hundred sixty-two thousand, four hundred sixty-four".