108877952 has 64 divisors (see below), whose sum is σ = 233832960. Its totient is φ = 50350080.

The previous prime is 108877949. The next prime is 108877987. The reversal of 108877952 is 259778801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 108877897 and 108877906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90668 + ... + 91860.

It is an arithmetic number, because the mean of its divisors is an integer number (3653640).

Almost surely, 2^108877952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116916480).

108877952 is an abundant number, since it is smaller than the sum of its proper divisors (124955008).

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

108877952 is a wasteful number, since it uses less digits than its factorization.

108877952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 47.

The square root of 108877952 is about 10434.4598326890. The cubic root of 108877952 is about 477.5072623001.

It can be divided in two parts, 108 and 877952, that multiplied together give a cube (94818816 = 456³).

The spelling of 108877952 in words is "one hundred eight million, eight hundred seventy-seven thousand, nine hundred fifty-two".