106576215552 has 240 divisors, whose sum is σ = 313284011040. Its totient is φ = 34873344000.

The previous prime is 106576215539. The next prime is 106576215587. The reversal of 106576215552 is 255512675601.

106576215552 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 76 + 21 + 5 + 552 = 666.

It is a super-2 number, since 2×106576215552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106576215498 and 106576215507.

It is a congruent number.

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, 61926052 + ... + 61927772.

It is an arithmetic number, because the mean of its divisors is an integer number (1305350046).

Almost surely, 2^106576215552 is an apocalyptic number.

106576215552 is a gapful number since it is divisible by the number (12) 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 106576215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156642005520).

106576215552 is an abundant number, since it is smaller than the sum of its proper divisors (206707795488).

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

106576215552 is a wasteful number, since it uses less digits than its factorization.

106576215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 106576215552 in words is "one hundred six billion, five hundred seventy-six million, two hundred fifteen thousand, five hundred fifty-two".