108951552 has 144 divisors (see below), whose sum is σ = 329631120. Its totient is φ = 34603008.

The previous prime is 108951547. The next prime is 108951553. The reversal of 108951552 is 255159801.

It is a happy number.

108951552 is a `hidden beast` number, since 10 + 8 + 95 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108951553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423808 + ... + 424064.

It is an arithmetic number, because the mean of its divisors is an integer number (2289105).

Almost surely, 2^108951552 is an apocalyptic number.

108951552 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 108951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164815560).

108951552 is an abundant number, since it is smaller than the sum of its proper divisors (220679568).

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

108951552 is a wasteful number, since it uses less digits than its factorization.

108951552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 108951552 is about 10437.9860126367. The cubic root of 108951552 is about 477.6148341815.

It can be divided in two parts, 108 and 951552, that multiplied together give a triangular number (102767616 = T₁₄₃₃₆).

The spelling of 108951552 in words is "one hundred eight million, nine hundred fifty-one thousand, five hundred fifty-two".