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99106816 = 21423263
BaseRepresentation
bin1011110100001…
…00000000000000
320220111010222211
411322010000000
5200332404231
613500111504
72312252104
oct572040000
9226433884
1099106816
1150a41466
1229235594
13176c00b3
14d23b904
158a79eb1
hex5e84000

99106816 has 60 divisors (see below), whose sum is σ = 207611712. Its totient is φ = 47218688.

The previous prime is 99106811. The next prime is 99106817. The reversal of 99106816 is 61860199.

It is not an unprimeable number, because it can be changed into a prime (99106811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376701 + ... + 376963.

Almost surely, 299106816 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 99106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103805856).

99106816 is an abundant number, since it is smaller than the sum of its proper divisors (108504896).

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

99106816 is an equidigital number, since it uses as much as digits as its factorization.

99106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 99106816 is about 9955.2406299396. The cubic root of 99106816 is about 462.7728174671.

The spelling of 99106816 in words is "ninety-nine million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 263 368 512 526 736 1024 1052 1472 2048 2104 2944 4096 4208 5888 6049 8192 8416 11776 12098 16384 16832 23552 24196 33664 47104 48392 67328 94208 96784 134656 188416 193568 269312 376832 387136 538624 774272 1077248 1548544 2154496 3097088 4308992 6194176 12388352 24776704 49553408 99106816