102976128 has 96 divisors (see below), whose sum is σ = 300736800. Its totient is φ = 33815040.

The previous prime is 102976121. The next prime is 102976147. The reversal of 102976128 is 821679201.

102976128 is a `hidden beast` number, since 10 + 29 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 102976092 and 102976101.

It is not an unprimeable number, because it can be changed into a prime (102976121) 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, 81163 + ... + 82421.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^102976128 is an apocalyptic number.

102976128 is a gapful number since it is divisible by the number (18) 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 102976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

102976128 is an abundant number, since it is smaller than the sum of its proper divisors (197760672).

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

102976128 is a wasteful number, since it uses less digits than its factorization.

102976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 102976128 is about 10147.7154079133. The cubic root of 102976128 is about 468.7185980031.

The spelling of 102976128 in words is "one hundred two million, nine hundred seventy-six thousand, one hundred twenty-eight".