106380876552 has 64 divisors (see below), whose sum is σ = 276062472000. Its totient is φ = 34120606464.

The previous prime is 106380876551. The next prime is 106380876571. The reversal of 106380876552 is 255678083601.

It is a happy number.

It is a super-2 number, since 2×106380876552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106380876495 and 106380876504.

It is not an unprimeable number, because it can be changed into a prime (106380876551) 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, 56902 + ... + 464757.

It is an arithmetic number, because the mean of its divisors is an integer number (4313476125).

Almost surely, 2^106380876552 is an apocalyptic number.

106380876552 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 106380876552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138031236000).

106380876552 is an abundant number, since it is smaller than the sum of its proper divisors (169681595448).

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

106380876552 is a wasteful number, since it uses less digits than its factorization.

106380876552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521990 (or 521986 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 106380876552 in words is "one hundred six billion, three hundred eighty million, eight hundred seventy-six thousand, five hundred fifty-two".